Polygons Word Problems
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A 10 meter ladder is leaning aganist a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ladder? Round to the nearest tenth.
polygon word problems

When you buy a TV, the size refers to the diagonal. You have a cabinet that is 40 inches by 50 inches. You want to buy a 72 inch Plasma High Definition TV to watch the Super Bowl. Will it fit in your cabinet?
area of polygons word problems

A sailboat has a triangular sail with an area of 64 square feet and a height of 16 feet. What is the base of the sail?
similar polygons word problems

One angle of a triangle has a measure that is 10 more than twice that of the ssecond angle. The third angle has a measure 10 less than the first. Find the measure of each angle of the triangle.
polygons word problems

A 7m ladder against the wall of a building and its foot is 2m from the base of the building. How far up the wall is the top of the ladder?
word problems with polygons

The length of the hypotenuse of a right triangle is three times the length of one of the legs. The length of the other leg is the square root of 72. What is the length of the hypotenuse?
similar polygon word problems

A guy wire reaches from the top of a 39.32 ft pole to a point on the ground 15` from the pole. Find the length of the wire.
polygon problems

Find the perimeter of an equilateral triangle whose height is 18.
problems on polygons

If a ladder is leaning against a building, and the distance from the bottom of the ladder to the building is 8 ft. less than the length of the ladder, how high up the side of the building is the top of the ladder if the distance is 1 ft. less than the length of the ladder?
area of a regular polygon word problems

The legs of a right triangle are 5 and 7 centimeters long, respectively. What is the length of the hypotenuse? If necessary, round your answer to two decimal places.
area of polygons word problem

From a point 12 m from the base of a flagpole the angle of elevation to the top of the pole is 42 degrees. how tall is the flagpole?
word problems for area of polygons

The sum of the sides of a right triangle is 49cm and the hypotenuse is 41cm. Find the length of each side.
word problems on area of polygons

A ladder reaches a height of 64 feet on a wall. if the bottom of the ladder is placed 4 feet away from the wall, what is the slope of the ladder as a positive number?
polygon area word problems

A clubhouse has a roof whose slant height is 13 m and base is 24m. Two extra supports 2m and 3 m from the peak and perpendicular to the base of the peak need to be constructed. Find the length of each support.
similar polygons word problem

xyz is congruent to pqr. If y=30 and z=100, what is p?
problems with polygons

A road up a hill makes an angle of 5.1 with the horizontal. If the road from the bottom of the hill to the top of the hill is 2.5 miles long, how high is the hill?
word problems polygons

The legs of a right triangle are 3 and 8 centimeters long, respectively. What is the length of the hypotenuse?
word problems area of polygons

If a parallelogram has an area of 115 square units anda base length of 12, what is the height of the parallelogram, to the nearest hundredth?
word problems about polygons

The hypotenuse of a right triangle has a length of 13 cm. The sum of the lengths of the other two sides is 17 cm. Find the unknown side lengths.
polygons math problems

If a right triangle with the sides of 12 feet and 5 feet. What is the length of the hypotenuse? (longest side)
word problems with similar polygons

a baseball diamond is a square, 90 feet on each side. How far is it from 1st base to 3rd base?
polygon word problem with solution

You are hiking along the California coast and wonder about the height of a particular Giant Redwood tree. You are 5 feet and nine inches tall and your shadow is 11 feet long. The shadow of the tree is 330 feet long. How tall is the tree
polygons problems and solution

a ladder leads against a building forming an angle of 58 degrees with the groumd. the base of the ladder is 6 feet from the building. use the cosine to determine the length of the ladder
word problem on congruent polygon

what is the area of 1 and 1 and 4/5
word problems + perimeter of polygons

If a triangle has an area of 16 inches and a base of 8 inches, how long is its height?
problems involving polygons

a field has the shape of a right triangle. one leg is 10 meters longer than twice the length of the other leg. the hypotneuse is 4 meters longer than three times the length of the shorter leg. find the dimensions
word problems for similar polygons grade 7

word problems for similar polygons

A satellite is circling 112 miles above the earth. When the satellite is directly above point B (point at Earth crust), angle A (angle of depression to horizon, which is a tangent line) is found to be 76.6 degrees. Use this information to find the radius of the earth.
word problems on polygon

The hypotenuse of a right triangle is twice as long as the height. Determine the height as a function of the base b.
algebra word problem practice problems similar polygons

A flower bed is the shape of a triangle with one side twice the length of the shortest side, and the third side is 24 feet more than the length of the shortest side. Find the dimensions if the perimeter is 168 feet.
sum of angles polygon word problems

Find the height of the triangle if the base is 20 ft and the area is 300ft2
word problems with polygonjs

In a triangle, the smallest angle is 20 degrees less than the largest angle. The third angle is 10 degrees more than the smallest angle. What is the measure of each angle?
story problems with similar polygons

the longest side of a triangle is four inches longer than the shortest side. the remaining side is two inches longer than the shortest side what is the sum of the length of the sides if the lengths of the sides are 24; the length of the longest side is
word problems involvng polygons

a 30 foot building and a 14foot ladder
geometry similar polygons word problems

A ladder is leaning against a building so that the distance from the ground to the top of the ladder is one foot less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 5 feet.
sum of angles in a polygon word problems

The second angle of an architecture`s triangle is three times as large as the first. The third angle is 30 degrees more than the first. Find the measure or each triangle.
word problem with similar polygons and shadows

in order to be safe a 6m ladder should be 2.5m away from the wall. how far should the wall be withan 8 foot ladder
math word problem on polygons

If one leg of a right triangle is 8 inches long, and the other leg is 12 inches long, how many inches is the triangle\`s hypotenuse?
worded problem of a polygon with a solutions

The sum of the angles in a triangle is 180 degrees. Ina particula triangle th efirst angle is 18 degress less thtn the secong angle, and the third angle is 70 degress. Write and solve an wquation to find the measures of te first two angles
word problem with solutions of a polygon

a person i riding in a hot air balloon. for the first hour and a haf the wind current is a constant 22 mph in the direction n 37.5 E. Then the wind current changes to 18.5 mph and heads the baloon in the direction s52.5 E. If this continues for another two hours, how far is the baloon from its starting position? what is the bearing of the baloon from its starting position?
basic worded problems on polygons

One side of a triangle is 3 inches shorter then the second side. The longest side is 13 and the perimeter of the triangle is 26 Find the lenght of the shortest side
problems on similar polygons

from a ship two lighthouses bear N. 40 degree E. After the ship has sailed 15 mi on a course of 135 degree, they bear 10 degree and 345 degree, respectively. Find the distance between them and the distance from the ship in the latter position to the more distant lighthouse.
word problem in polygon

The height of a triangle is 3 more than the base. The area is 14cm2. Find the base?
angles and polygons word problems

what is the length of the hypotenuse of a right triangle that has a base of 20 and a height of 15 feet
regular polygons word problems

The legs of a right triangle are 5 and 7 centimeters long, respectively. What is the length of the hypotenuse?
finding polygon vertices in word problems

The hypotenuse of a right triangle is 13 cm. One of the legs is 7 cm longer than the other leg. Find the area of the triangle.
word problems involving perimeter of polygons

the top of a 16 foot ladder is placed against a tall building at a point 15 feet from he ground.how far is the base of the ladder from the building
math problem a tree stands and casts a shadow and another tree stands what is it shadow?

A 10 meter ladder is leaning aganist a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ...
area of regular polygon word problem

Area of right triangle w/legs 15 and 8
polygon problems and solutions

TRIANGLE WITH POINTS J K L WITH AN ANGLE OF 80 DEGREES WHAT IS THE MESURE OF K?
similar polygons problems

if a ladder that is 10ft long is 6ft from the base of a wall. How far up the wall does the ladder reach.

from a point 4.5 n from the base of a wind turbine , the angles of elevaton to the top of the turbine is 87 degree. Find the height of the wind turbine to te nearest tenth of metre.

12 meter lader leaning against the wall the foot of the ladder is 3 meters from the base of the building how far up the wall is the top

because equilateral triangles are one of the few regular polygons that tessellate, you want to cut out differentcolored equilateral triangles from construction paper to create a tessellation for the bulletin board. because you do not want to rely on measuring sixtydegree angles, you decide to create a "T" in which the of the "T" is the altitude and the top of the "T" is the side of the triangle. you will then connect the endpoints, as shown below. if you draw a side of the length 12 centimeters, how long should the altitude be to the nearest tenth?

an 8 foot ladder is leaned up against a high wall from four feet away. how high up the walls does the ladder reach?

tow office towers are 50 m apart. from the 14th floor of the shorter tower, is 33 . the angle of depression to base of the taller tower is 39 decrees . determine the hight of the taller tower

A swimming pool is 16m wide and 25m long. what distance would you be swimming if you went diagonally corner to corner?

A 6foot person walked form the base of a broadcasting tower directly toward the top of the shadow cast by the tower. When the person was 132 feet from the tower and 3 feet from the top of the tower`s shadow, the person`s shadow started appear beyond the tower`s shadow.

A school BAseball Diamond is a square with sides that measure 40 feet. About how far is it from third base to first base?

the length of the garden is 3 feet more than three times its width. The diagonal is 4feet more than times the width. Find the length and width.

the hypotenuse of a right triangle is 24 ft. long. the length of one leg is 20ft more than the other. FInd the lengths of the legs.

A 30ft ladder is leaning against a buildiing so that its angle of elevation is 50 degrees. At what height above the ground does the ladder touch the building?

in a right triangle, if the two legs are 12 and 15 feet, what is the length of the hypotenuseright angle triangle hypotenuse isosceles right triangle hypotenuse right

The perimeter of a triangle is 46 cm. The triangle is isosceles now, but if its base were lengthened by 4 cm and each leg were shortened by 7 cm, it would be equilateral. Find the length of the original triangle.

Lydia plans to use a photcopy machine to increase the size of a small chart that she has made as part of her science jproject. The original chart is 4 inches by 5 inches. If she uses a scale factor of 5:11, will the chart fit on a sheet of paper 8½ inches by 11 inches? Explain

The longer leg of a right triangle is ten less than three times the shorter leg. The hypotenuse is 4 more than the shorter leg. Find the length of the shorter leg.

cat is 9m above the ground. a person trying to rescue the cat places an 8m ladder 3.5 m from the base of the tree. to the nearest tenth of a meter, how far is the cat from the top of the ladder.

the hypotenuse if a right triangle is 15cm. The other two sides have a total length of 21cm. Find the lengths of the two unknown sidea.

Taylor\`s teacher asked him if he\`d ever paid attention to a stop sign. He replied, \"yes\". Finally Taylor\`s teacher asked him wich polygon had the same number of sides as a stop sign.

A 10 foot ladder is leaned against a wall. If the base of the ladder is 6 feet froom the wall, how high up the wall will the ladder reach

In an isosceles triangle, the measure of one angle is three times the measure of one of the congruent angles. Find the measure of each angle.

find the value of n in each diagram. give your answer as a square root.

what is the base of a right triangle if the hypotenuse is 1000 and the height is 600

as the hands of a clock move from 6 am to 6 pm how many times do the hands form a triangle

ABC triangle has 3sides like AB=(3x18) ,BC=(12x2) and AC=35. Can we find out x without using Trigonometry ?

If one leg of a right triangle is 8 inches long, and the other leg is 12 inches long, how many inches is the triangle`s hypotenuse?

a triangle has a perimeter of 42cm. the longest side is twice as long as the shortest side. the thrid side is 6cm. longer than the shortest side. what are the lengths of the 3 sides?

In a right triangle, the first angle is 9 degrees smaller than twice the measure of the second angle. What is the measure of the second angle?

from a window 35 meters high,the angle of depression to the top of a nearby streetlight is 55 degrees. The angle of depression to the base of the streetlight is 57.8 degrees. How tall is the streetlight

A ladder leans against a vertical wall. the legnth of the ladder is 6m. the bpttom of the ladder is 2m from the base of the wall. how high is the top of the ladderabove the ground correct to one decimal place?

A ski slope at a mountain has an angle of elevation of 25.2 degrees. The vertical height of the slope is 1808 feet. How long is the ski slope?

A 22 foot ladder leans against a house. The top of the ladder is 12 feet above the ground. Find the angle the ladder makes with the ground.

the sail on a sail boat is in the shape of a triangle. if the height of the sail is 5 times the length of the base and the area is 160 square feet, find the dimensions of the sail

If the perimeter of a right triangle is 1400 and the hypotenuse is 600, what are the lengths of the legs?

The editor of the school newspaper must reduce the size of a graph to fit in one column. The original graph is 2 inches by 2 inches, and the scale factor from the original to the reduced graph is 8:3. Find the dimensions of the graph as it will appear in one column of the newspaper.


Jacob runs down the street to Fred`s house which is 20 meters away. They both then run up the street to the movies to watch Saw 6. The movie frightens them so much that they run back to Jacob`s house, making a diagonal through their block about 47 meters long. What is the distance between Fred`s house and the movies?

michelle wants to find the height of the tallest building in her city.She stands 224 feet away from the building. there is a tree 33 feet in front of her,which she knows is 16 feet tall. how tall is the building to the nearest foot.

TRIANGLE WITH POINTS J K L WITH AN ANGLE OF 80 DEGREES WHAT IS THE MEASURE OF K?

The legs of a right triangle are 6 and 10 centimeters long, respectively. What is the length of the hypotenuse?

Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Twelve hours later they are 600 miles apart. If the Ship X had traveled 480 miles from the port, how many miles had Ship Y traveled?


Anne wants to tie a support line from the top of a 50 foot radio tower to an anchor spot 30 feet from the tower’s base. Approximately how long will the line need to be?

The triangle an area of 115 units squared. Find the length of the base (2x+3) and the length (x) of the height.

Destiny and Spencer have decided to build Mrs. Schreibman a new lookout from which to watch band practice. If the base of the lookout is to be a 8` by 8` square, how long will the diagonal brace of the square need to be?

1. find the hypotenuse of a right triangle with sides 5 inches and 10 inches

satellites that relay telvision signals to earth cruise at a distance or about 22,200 miles above earths surface. the radius of earth is about 4,000 miles. find the distance a from the satellite to point T .round to de nearest hundred miles?

a woman is 5ft tall and is standing near a street lamp that is 12ft tall. Find a function that models the Length (L) of her shadow in terms of her distance from the base of the lamp.

height 12" length 25" what is the area

the base of a right triangle is twice the height. Express the perimeteter P of the triangle as a function of it`s height, H.

the base of the ski ramp forms a right triangle. one leg of the triangle is 2 meters shorter than the other. if the hypotenuse is 10 meters, then what are the lengths of the legs?

one leg of a right triangle is 9 feet less than the hypotenuse, while the other is 2 feet less than the hypotenuse. Find the length of the hypotenuse?


Ms.McCormick is standing on her counter watering her plant when she notices one of her students sleeping with their head on the desk. this makes her angry, so she decides to throw the empty water bottle at the students head to wake them up. the student`s head is level with the counter she is standing on and Ms.McCormick is 5.25 feet tall. she throws the bottle at a 32 degree angle of depression, what distance does the bottle have to travel to hit the student in the head?

A right triangle has its hypotenuse one cm more than twice the length of the shortest side. The other side is 7cm longer than the shortest side. Find the length of each side of the triangle.

the hypotenuse of a right triangle is 24 ft. long. the length of one leg is 20ft more than the other. FInd the lengths of the legs

a 20 ft ladder is leaning against a build and the bottom of the ladder is 4 less than the length of the ladder from the base of the building what is the height of the ladder?

A 20 ft ladder is leaned against the side of a building so that the base of the ladder is 7 ft from the building. How high up the wall does the ladder reach?

The editor must reduce size of graph into one column. Original graph is 2 in by 2 in. The scale factor from orignal to reduced graph is 8:3. Find the dimension of the graph as it will appear in newspaper?

A tree casts a shadow that is 4 meters long when a meterstick casts a shadow 1.8 meters long. What is the height of the tree?

A triangleflower bed has one side twice the length of the shortest side.The third side is 30 feet longer then the shortest side. If the perimeter of the triangle flower bed is 102 feet,find thelength of all three sides.

Two ships leave port at the same time, Ship X is heading due north and Ship Y is heading due east. Twelve hours later they are 600 miles apart. If the Ship X had traveled 480 miles from the port, how many miles had Ship Y traveled?

Different Trinagle Plane Figures

if one leg of a right triangle is 8 inches long, and the other leg is 12 inches long, how many inches long is the triangle`s hypotennuse?

A 10 meter ladder is leaning aganist a building. The bottom of the ladder is 5 meters from the building. How many meters high is the top of the ... geometric proofs, pythagorean theorem, triangles, right triangles, polygons, shapes, plane figures, curves

Editor of the school newspaper must reduce the size of a graph to fit one column. The original graph is 2 inches by 2 inches, and the scale factor from the original to the reduced graph is 8:3. Find the dimensions of the graph as it will appear in one if the newspaper.

The hypotenuse of a right triangle is twice as long as one of the legs and 8 inches longer than the other. What are the lengths of the sides of the triangle?

Two ships leave port at same time. Ship x is heading due north and ship y is heading due east. Twelve hours later they are 600 miles apart. If the ship x had traveled 480 miles from the port, how many miles had ship y traveled?

A ladder 39 feet long leans against a building and reaches the ledge of a window. If the foot of the ladder is 15 feet from the foot of the building, how high is the window ledge about the ground?

John leaves school to go home. He walks 100 blocks North and then 820 blocks west. How far is John from the school?

The legs of a right triangle are 12 inches and 8 inches. Find the length of the hypotenuse to the nearest whole number.

The right angle of the triangle is 1808 feet the slope is 25,2 degrees, how long is the slope?

Tom and Carol are playing a shadow game. Tom is 6 feet tall and carol is 5 feet tall. If Carol stands at the shadow top of Tom`s head, there is two combined shadows total 15 feet. how long is each shadow?

A boat has a right triangular sail with two sides that are 18 feet and 15 feet. How long must the third side of the sail be?

The answer for the second angle in a triangle is three times as large as the frist. the third angle is one third as large as the second angle. Find the angle measures. Draw a possible picture of the triangle?

The hypotenuse of a right triangle is 16 in. longer than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle.

A man on a 135ft vertical cliff looks down at an angle of 16 degrees and sees his friend. How far away is the man from his friend? How far is the friend from the base of the cliff?

Jim’s nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than onehalf of the longest side. The second longest side is 4 feet shorter than the longest side. What is the length of each side?

How far up a wall will a 10meter ladder reach, if the foot of the ladder is 5 meters away from the base of the wall?

The area of a triangle is 30in^{2}. The base of the triangle measures 2 in. more than twice the height of the triangle. Find the measures of the base and the height.

A ladder leans against the side of a building. The base of the ladder is 5 metres from the building, and the top is 12 metres above the ground. What is the length of the ladder?

A ladder is resting against a wall. The top of the ladder touches the wall at a height of 9 ft. Find the lenght of the ladder if the length is 3 ft more than its distance from the wall.

The longer leg of right triangle measures two feet more than twice the length of the shorter leg. The hypotenuse measures 3 feet more than twice the shorter leg. Find the length of all three sides.

The perimeter of a triangle is 60 cm. The longest side is 2 cm less than twice the shortest side and 11 cm greater than the other side. Find the length of each side.

Suppose you need to construct a right triangle in which the shortest side is eight feet less than the longest side and the third side is seven feet more than the shortest side. a. Draw a picture and label all the sides. b. Set up equation using the above information. c. Solve the equation. d. How many solutions do you get? e. Do any of them make sense? f. What are the lengths of all three sides of the triangle?

A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 8 ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 4 ft less than the length of the ladder?

If a triangle has an area if 16 inches and a base of 8 inches, how long is its height?

how many square feet are in a triangle 30 feet high with a 100 foot base

a line segment (not a side) connecting two vertices of a polygon is called a

One angle of a triangle is three times as large as another. The measure of the third angle is 40 degrees more than the smallest angle. Find the measure of each angle.

If a 12foot ladder reaches a point on the wall that is 10 feet above the ground, how far is the base of the ladder from the wall?

pele needs to make a new sail for his sailboat. the sail is a right traingle with the base of 8 feet and a height of 15 feet. how many square feet of material does pele need to make the sail?

The hypotenuse of a right triangle is twice as long as one of the legs and 6 inches longer than the other. What are the lengths of the sides of the triangle?

There are two right triangles: Triangle 1 and Triangle 2. The longer leg of Triangle 1 is one foot longer than its shorter leg. The longer leg of Triangle 2 has length three times that of the shorter leg of Triangle 1. The shorter leg of Triangle 2 has length 1.5 feet more than one and a half times the length of the shorter leg of Triangle 1. The sum of the areas of Triangle 1 and Triangle 2 are 33 square feet. What are the lengths of the longer legs of Triangle 1 and Triangle 2? Be sure to set up an equation and solve it.

The angle of elevation for a point 64 meters from the base of a building to the top is 35 degrees. Find the height of the building.

A box is 3 inches by 4 inches by 1 foot. Find the sine of theangle that a diagonal of the box makes with its longest edge.

a ladder is leaning against a wall so that the foot of the ladder is 10 feet from the base of the wall. The ladder is 2 feet longer then the height it reaches up the wall. how far up the wall does it reach?

From a point on the ground the angle of elevation to a ledge on a building is 27 degrees, and the distance to the base of the building is 45 meters. How many meters high is the ledge?

A guardrail is to be constructed around the top of a circular observation tower. The diameter of the observation area is 12.3 m. If the railing is constructed with 30 equal straight sections, what should be the length of each section?

The hypotenuse of a right triangle is twice as long as one of the legs and 10 inches longer than the other. What are the lengths of the sides of the triangle?

What is an isosceles triangle that also an obtuse triangle?

Triangle EFG is similar to triangle XYZ. Which proportion can you use to find the value of X?

How far up a wall will an 11m ladder reach, if the foot of the ladder must be 4m from the base of the wall?

A sailboat has a triangular sail with an area of 30 square feet. the height of the sail is 7 feet more than the length of the base of the sail. Find the height of the sail.

ΔWXY is isosceles. WY is 10 centimeters long. Find the length of XZ.

There are two similar triangles. Dimensions of one are 12,16, 20, and the other`s are 12,9,x. Find x.

The legs of a right triangle are 12 and 16 inches long, respectively. What is the area of the triangle?

In a certain triangle, the second side is onethird of the first side in length. The third side ia 2 meters less than the first side. The perimeter of the triangle is 26 meters. Form an algebraic equation to express the problem, and identify the variables,coefficients, and constants of the algebraic expression.

The mainsail of a lightning sailboat is a right triangle in which the hypotenuse is called the leech. If a 24 ft tall mainsail has a leech length of 26ft and if Dacron sailcloth casts $10 per square foot, find the cost of a new mainsail.

If one leg of a right triangle is 8 inches long, and the other leg is 12 inches long, how many inches long is the triangle`s hypotenuse?

A sail is in the form of a right triangle that is two times as high as it is wide. The sail is made from 4 square meters of material. What is the height?

To place a 13foot ramp against the side of a house so the ramp rest on a ledge that is 5 feet above the ground. How far will the base of the ramp be from the house?

A 20ft ladder is leaning against a wall. If the ladder is 12 ft from the base of the wall, how high above the ground does the ladder touch the wall?

A 32 foot ramp connects a platform with a sidewalk that is at ground level. if the platforn is 6 feet above ground level, what is the distance from the base of the platform to the sidewalk?

Why is it called similar triangle?

A ladder 39 feet long leans against a building and reaches the ledge of a window. If the foot of the ladder is 15 from the foot of the building, how high is the window legde above the ground ?

Jerry has a window in his room. His window is a triangle. If angle one measures 63 degrees, and angle two measures 77 degrees, what is the measure of angle 3?

Find the area of a right triangle with legs of length a = 5 √3 , and b = 2 √3 + 3 √2

a 24 foot ladder, leaning against a house, reaches the bottom of a window that is 20 feet above the ground. To the nearest degree, find the angle the ladder makes with the house.

a 13foot ladder is leaning against a building, with the base of the ladder 4 feet from the building. how high up on the building will the top of the ladder reach?

A lookout tower casts a shadow 150 feet long at the same time that the shadow of a 9 foot truck is 18 feet long. Find the height of the tower.

The hypotenuse of a right triangle is 50 meters long. The length of one side is 10 meters longer than the other. find the length of the two legs.

The sum of all of the sides of a stop sign is 96 inches. A stop sign is an octagon with all sides equal. How many inches does each side measure? 2.

The length of one leg of a right triangle is 12 meters. The length of the hypotenuse is 8 meters longer than the other leg. Find the lengths of the hypotenuse and the other leg of the triangle.

construct a right triangle whose one leg is twice as long than the other

explain it, A polygon has sides of 4 feet, 5 feet, 4 feet, 5 feet, and 6 feet. Draw and name the polygon

A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 31 . From a point 1500 feet closer to the mountain along the plain, they find that the angle of elevation is 33 . How high (in feet) is the mountain?

what is the hypotenuse of a right triangle with the sides 12 and 16?

a latter is laying against a house at a 60 degree angle. The ladder is 18 feet from the ground. How far is the bottom of the ladder from the house?

In a right triangle, the length of the hypotenuse is 20 inches and the length of one leg is 15

A right triangle has a height that is 3 times longer than its base. If the area of the triangle is 150, what is the height?

You and your friend part at an intersection. You drive off north at a constant speed, and your friend drives east at a speed that is 10 mph higher. After 2 hours the distance between you and your friend is 175.93 miles. You have been driving at BLANK mph

The shortest side of a polygon of area 196 sq. in. is 4 in. long. Find the area of a similar polygon whose shortest side is 8 in. long.

prove: (cosecA  SinA)(secA  CosA) = 1/(cotA + TanA)

The radius of a circle is 18 inches. find the perimeter of an inscribed regular pentagon.

The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less than the longer side. What is the length of the hypotenuse?

as the hands of aclock move from 6 am to 6 pm how many times do the hands form a triangle

A ladder is leaning against a building. The distance from the bottom of the ladder to the building is 18 ft less than the length of the ladder. How high up the side of the building is the top of the ladder if that distance is 1 ft less than the length of the ladder.

The legs of a right triangle are 7 and 11 inches long, respectively. What is the length of the hypotenuse?

the hypotenuse of a right triangle is 10 inches longer than the shortest side and 5 inches longer than the remaining side. find the dimensions of the triangle.

The length of the hypothenuse of the right triangle is 37 cm and its area is 210 cm^2. Find the lengths of the legs of the triangle.

the sum of the angles of a triamgle is 180 if one angle of a triangle is ten degrees larger than the smallest angle and the third angle is 10 degrees less than theree times the smallest angle find the measures of the three angles


Jim Nasium, the physical education teacher was working with a group of ten children when the principla. Miss B Good walked up behind the group. She asked the children to turn around and challenged them to see if the children could figure out which three children would move and where so that they would be in the same arrangement that they were in when facing Mr. Nasium.

A triangle has sides in a ratio of 4:3:5. Find the length of the sides if the perimeter is 240 meters.

The base of a triangle is 5 inches less than the height. The area of the triangle is 18in^2. Find the lengths of the base and the height.

hyp[otenuse of 72 inch right triangle

the windows of a house are to be built so that the eaves completely shade them from the sun in the summer and so that the sun completely fills them in the winter. the eaves have an overhang of 3 ft. A) how far below the eaves should the top of the window be in order for the window to receive full sin in midwinter when its angle of elevation is 25 degrees?

How long must a ladder be to reach the top of a 20` wall if the ladder and the wall form a 32 degree angle (at the top)

10 yrds up in a tree stand and the deer is at 30 yrds how far is it from the tree stand to the deer


frin a point 4.5 n from the base of a wind turbine , the angles of elevaton to the top of the turbine is 87 degree. Find the height of the wind turbine to te nearest tenth of metre.

ABC IS A TRIANGLE WITH BASE BC . DE PARALLEL TO BC INSIDE THE CIRCLE .IS DBCE CONCYCLIC?WHY?

A real estate developer owns a piece of land enclosed on three sides by stressts, giving it the shape of a right triangle. The hypotenuse is 8 meters longer than the longer leg, and the shorter leg is 9 meters shorter than the hypotenuse. Find the lengths of the three sides of the property

A ladder leans against a building. If the base of the ladder is feet from the wall and the top of the ladder is 15 feet above the ground, how long is the ladder?

a 20 ft ladder is leaning against a house. It is 4 feet plus from the top of the ladder to the ground hat is the distance of the ladder from the house to the ground?

A 6foot person walked form the base of a broadcasting tower directly toward the top of the shadow cast by the tower. When the person was 132 feet from the tower and 3 feet from the top of the tower\`s shadow, the person\`s shadow started appear beyond the tower\`s shadow. Draw a right triangle to represent the problem and show the quantities and use a variable to indicate the unknown height of the tower. Then, write an equation for the unknown quantity and find the height of the tower.

A 15` pole is leaning against the side of a house. If the top of the pole is 12` from the ground, how far away from the house is the base of the pole.

A school BAseball Diamond is a square with sides that measure 40 feet. About how far is it from third base to first base? Round your answer to the nearest tenth.

The measure of one angle of a triangle exceeds the measure of a second angle by 26 and is 36 less than then the third. Find the measure of the three angles

The editor of the school newspaper must reduce the size of the graph to fit in one column. The original graph is 2 inches by 2 inches, and the scale factor from the original to the reduced graph is 8:3. Find the dimensions of the graph as it will appear in one column of the newspaper.

the hypotenuse of a right triangle is 24 ft. long. the length of one leg is 20ft more than the other. FInd the lengths of the legs. Round to the nearest hundredth

A lot is in the shape of a right triangle. The shorter leg measures 150 meters. The hypotenuse is 50 meters longer than the length of the longer leg. How long is the longer leg?

Find the length of the ladder that stands 12ft away from a wall and touches the wall 16ft high?

the hypotenuse of a right triangle measure 19 meters. One leg measures 15 meters. To the nearest tenth of the other leg

a ladder 36ft. long rests against a wall, its foot being at a horzontal distance of 25ft. from the base of the wall. what angle does the ladder make with the ground?

A 25 ft rope is stretched from the top of a ship`s mast to a cleat on the deck. If the cleat is 16 ft from the base of the mast, how tall is the mast?

A train travels 5000 meters along a track whose angle of elevation has a measurement of 3 degrees. How much did it rise during this distance

The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less that the longer side. Find the length of the hypotenuse.

The mast of a sail boat is 18 feet high and the boom is 15 feet long. The gooseneck can rotate 360 degrees. How much cloth will be required to make the sail of the boat?

The base of an 8foot ladder is placed 2 feet away from a wall. How high up the wall will the ladder reach?

The measure of the largest angle of a triangle is 12 degress less than the measures of the other two. The smallest angle measures 58 degress less than the largest angle. Find the measure of each angle of the triangle?

Two triangles are similar. One triangle is 4,2,3 the second one is 12,9,6. Which fraction represents the ratio of the lengths of the sides of the small triangle to the lengths of the large triangle? Is it 1/3 , 4/9, 1/2, 2/3.

At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h, How fast is the distance between the ships changing at 4:00 P.M.?

A ski resort is installing tows on its new ski runs. One hill has a vertical height of 500m and is inclined at 42 degrees. Determine the approximate length of the TBar cable if it goes to the top of the hill and returns?

Larry bought a trampoline measuring 10 feet by 12 feet. What is the length of the diagonal of the trampoline?

A dog pen is in the shape of a right triangle. The longer leg measures 15 feet. The hypotenuse is 7 feet shorter than three times the length of the shorter leg. How long is the shorter leg?

The face of the triangular concrete panel has an area of 45 meters, and its base is 3 meters longer than twice its height. Find the length of its base.

A 12ft. ladder is leaning against a building. The bottom of the ladder is 7 ft. from the building. How high is the top of the ladder?


The longer leg of right triangle measures two feet more than twic the length of the shorter leg. The hypotenuse measures 3 feet more than twice the shorter leg. Find the length of all three sides.

suppose you need to construct a right triangle in which the shortest side is eight feet less than the longest side and the third side is seven feet more than the shortest side

Two polygons are similar with the longest side of one 8 and the longest side of the other 10. Find the ratio of the areas.

A building 51 feet tall casts a shadow 48 feet long. Simultaneously, a nearby statue casts a shadow of 16 feet. How tall is the statue? A. 17 ft B. 19 ft C. 23 ft D. 153 ft


One side of a triangle is 1 inch longer than the shortest side and is 1 inch shorter than the longest side. The perimeter is 17. What are the dimensions of the triangle?

The perimeter of a right triangle is 42 inches. If the lengths of the sides of the triangle are in the ratio 3 to 4 to 5, what are their lengths in inches?

The hypotenuse of a right triangle is 40 ft long. One leg is 8 ft shorter than the other. Find the length of the legs

A ladder that is 13 feet long leans against a building. The bottom of the ladder is 5 feet away from the base of te building. How far up the side of the building does the ladder reach?

A radio transmission tower is 200ft high. How long should a guy wire be if it is to be attached to the tower 10 feet from the top and is to make an angle of 45 degree with the ground

What is the area of a similar polygon made of triangles with an area of 42 square units each?

find the area of a right triangle with legs that have measures of 10 and 15

A right triangle has (nonhypotenuse) sides of length 3 meters and 5 meters. What is the hypotenuse of the triangle and what is the angle in degrees between the 3 meter side and the hypotenuse?

The hypotenuse of a right triangle is twice as long as one of the legs and 3 inches longer than the other. What are the lengths of the sides of the triangle?

The hypotenuse of a right triangle is twice as long as one of the legs and 7 inches longer than the other. What are the lengths of the sides of the triangle?

the distance from the bottom of the ladder to the building is 8ft less than the lenght of the ladder. how high up the side of the building is the top is that distance is 4 ft less than the lenght of the ladder?

one leg of a right triangle is twice as long as the other. write the length of the hypotenuse as a function of the length of the shorter leg.

The bottom of a ladder is placed 4 feet away from a house and it reaches a height of 16 feet on the side of the house. What is the slope of the ladder?

Hypotynuse is 12 and base is 3 what is the other side

Height of a hill A road up a hill make an angle of 5.1degrees with the horizontal. If the road from the bottom of the hill to the top of the hill is 2.5, how long is the hill?

The second angle of a triangular field is three times as large as the first triangle. The third angle is 40 degrees greater than the first angle. How large are the angles?

a ladder 15 feet long rests against the side of a building, with the foot of the ladder 4 feet from the base of the building. Find the measure of the angle hat the ladder makes with the horizontal ground

Using the values A = 26°, B = 33°, h = 14, and L = 110, find the total length of the slide to the nearest foot.


The hypotenuse of a right triangle is 25 m long. The length of one leg is 10 m less than twice the other. Find the length of each leg.

In sailing, it is not possible to head straight into the wind. In order to get upwind, a sailboat simply sails at an angle to the wind and then turns to sail back toward where it wants to go. Assume that a boat needs to get directly upwind 6000 m. If it sails off at a 45º angle to the wind and then turns back 90º towards the original goal, how far would it have to sail to get directly upwind 6000 meters? Round your answer to the nearest tenth.

At 3:00:05 pm what are the approximate angles made between the second hand and the minute and hour hand?

An irriagation canal is to be constructed as shown below. If the maximum depth of water in the ditch is to be 7 feet, what is the smallest angle theta that can be used?

A kite is flown with 240 yards of string. The angle of elevation of the string is 55. how high above the ground is the kite.

word problem involving right triangles

Jacob runs down the street to Fred\`s house which is 20 meters away. They both then run up the street to the movies to watch Saw 6. The movie frightens them so much that they run back to Jacob\`s house, making a diagonal through their block about 47 meters long. What is the distance between Fred\`s house and the movies?

a ladder is leaning against a building. The distance from the bottom of the ladder to the building is 18 ft less than the length of the ladder. How high up the side of the building is the top og th ladder if that distance is 1ft less than the length of the ladder?


lot is shape of right triangle. The hypotenuse is 3m longer than the longer leg. The longer leg is 6m longer than twice the length of the shorter leg. What is perimeter?

The hypotenuse of a right triangle is 39 centimeters long. If one leg is 15 centimeters, what is the length of the other leg?

a microchip in a projector microscope measures 8 inches by 10 inches. The width of the actual chip is 4 millimeters. how long is the chip?

How long must a ladder be to reach the top of a 20` wall if the ladder and the wall form a 32 degree angle (at the top)

Area of a sail. The area in square meters for a triangular sail is given by A(x) x2 5x 6. a) Find A(5). b) If the height of the sail is x 3 meters, then what is the length of the base of the sail?

A 16 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how fast will the foot be moving away from the wall when the top is 13 feet above the ground?


A 26 ft long ladder rests against a wall. The distance from the base of the wall to the bottom of the ladder is x. The height at which the ladder rests against the wall is x + 14. Find the distance, x, from the base of the wall to the bottom of the ladder.

If the sum of nine angles of a decagon is 1350 , how large is the tenth angle?

A flagpole is stabilized by two guy wires attached to the top of the pole. On one side, a 25mlong wire makes an angle of 60 degrees with the ground.The sine of the angle formed by the second guy wire and the ground equal the cosine of the angle of the first guy wire.. Determine the length , to the nearest tenth of a metre, of the second guy wire without calculating any angles.


A 20ft ladder is leaning against a building. If the bottom of the ladder is 12 ft from the base of the building, how high does the ladder reach?

A 25 ft ramp has a horizontal distance of 24 ft. What is the height of the ramp?

The smallest angle in a triangle is one seventh as large as the largest angle. The third angle is twice the smallest angle. What are the three angles.

A tree on a hillside casts a shadow x ft down the hill, where x=185. If the angle of inclination of the hillside is y (where y= 26 degrees ) to the horizontal and the angle of elevation of the sun is z (where z is 53 degrees), find the height of the tree.

wgat is the area of a right triangle if the legs are 6 inches and 8 inches long?

a ship is sailing due east when a light is observe bearing N 26 degree 10 minute E. after teh ship has travelled 2259 ft, the light bears N 48 degree 25 minute E. if the course s continued, how close will the ship approach the light?

the angle of elevation from the base to the top of a watersilde is about 15 degrees. The slide extends horizonatally about 52. 6 meters. Estimate the height of the slide.

A 20ft ladder is leaning against a building. If the distance from the bottom of the ladder to the base of the building is 4 ft less than the height of the ladder, how high does the ladder reach?

Original graph is 2" by 2" and scale factor is 8:3 that need to reduce original graph to. What is size of column of reduced graph?.


Taylor`s teacher asked him if he`d ever paid attention to a stop sign. He replied, "yes". Finally Taylo`s teacher asked him wich pology had the same number of sides as a stop sign.

if a 24 ft. ladder leans 10 ft high on a wall, what is the angle

A 13ft ladder leans against a building. The bottom of the ladder is 6 feet away from the base of the building. How far up the side of the building does the ladder reach?

one of th interior angles of a polygon is 172, and the rest are each equal to 158. find the number of sides of the polygon