# A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground to the nearest degree

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### geometry

A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground to the nearest degree.

### math

A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.

### Math

A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.

### trig

as the sun rises it casts a long shadow over a boy who is leaning next to a tree. the tree is 35 feet tall and the sun's rays create an angle of depression of 70 degrees with the top of the tree. how long is the shadow

### geometry

A tree 19 feet tall casts a shadow which forms an angle of 49° with the ground. How long is the shadow to the nearest hundredth

### math

on a sunny day a tree casts a shadow that is 146 feet long. at the same time a person who is 5.6 feet tall standing beside the tree casts a shadow that is 11.2 feet long. how tall is the tree?

### trig

A tree casts a shadow 50 yards long when the angle of the sun (measured from the horizon) is 30 degree. How tall is the tree in feet? (A) 150p3 (B) 50p3 (C) 150 (D) 75p3 (E) None of the above.

### math

At a given time, the height of an object is directly proportional to the length of the shadow that is cast on the ground. A person 6 feet tall casts a shadow 1 foot long at noon. a) What is the length of the shadow cast by a flagpole known to be 20 feet tall? b) A tree cast a ...

### math

The shadow of a 5-foot tall post is 10 feet long. At the same time a tree casts a shadow that is 24 feet long. What is the height of the tree? A. 2 feet B.14 feet C. 12 feet D. There is not enough information to solve the problem

### trig

A tree casts a shadow 203 feet long. Find the number of feet in the height of the tree knowing that the angle of elevation of the sun is 16 degrees. Give your answer to the nearest integer. a. 57 b. 56 c. 61 d. 58 e. 55

### Math

A tree in the park makes a shadow on the ground at the same time the basketball post makes a shadow on the ground, as shown. If the height of the basketball post is 10 feet tall, and casts a 30 foot shadow, and the tree casts a 60 feet shadow, use properties of similar ...

### ALGERBRA

A TREE CASTS A SHADOW 12 FEET LONG. AT THE SAME TIME A VERTICAL ROD 8 FEET HIGH CASTS A SHADOW THAT IS 6 FEET LONG. HOW TALL IS THE TREE

### math

A tree casts a shadow that is 20 feet long. The angle of elevation from the end of the shadow to the top of tree is 66 degrees. Determine the height of the tree, to the nearest foot.

### math

A tree casts a shadow that is 20 feet long. The angle of elevation from the end of the shadow to the top of tree is 66 degrees. Determine the height of the tree, to the nearest foot.

a tree casts a shadow that is 20 feet long. the angle of elevation from the end of the shadow to the top of the tree is 66 degrees. Determine the height of the tree to the nearest foot.

### math

A tree casts a shadow that is 20 feet long. A 5-foot-tall boy stands in the shadow so that the end of his shadow lines up with that of the tree. His shadow is 6 feet long. How tall is the tree

### prealgebra

At the same time that a 60-foot tall building casts a shadow that is 21.5 feet long, a nearby tree casts a shadow that is 18 feet long. Which measure is closest to the height of the tree?

### Math

Use similar triangle to solve. A person who is 6 feet tall standing 140 feet from the base of a tree and the tree casts a 150 foot shadow. The person's shadow is 10 feet in length. What is the height of the tree?

### trigonometry

How to solve a vertical pole 8 feet tall cast a shadow 5 feet long on level ground.find the angle which the rays of the sun makes with the horizontal.

### Math...I think...

A building casts a shadow 54 feet long at the same time a 6 foot tall man casts a shadow 4 feet long. How tall is the tree?

### math

On a sunny day, a tree casts a shadow 60 feet long. At the same time, a yardstick casts a shadow 2 feet long. How tall it the tree??

### math

a christmas tree is 34 feet tall. it casts a shadow 24 feet long. toms christmas tree is standing beside the tree at rockefeller center and is 5 feet 8 inches tall. how long of a shadow would toms tree cast?

### Pre algebra

A tree casts a shadow 30 feet long. at the same time of day, 5.5- foot-tall Person casts 5 feet long.how tall is the tree?

### math

A child 4 feet tall casts a shadow 6 feet long. A nearby tree casts a shadow 27 feet long. How tall is the tree?

### Math

Will is five feet tall. He casts a 3 feet shadow at the same time that a tree casts a 9 feet shadow. Use similar triangles to find the height of the tree.

### math

girl is 6 feet tall and a pine tree next to her is 42 feet tall and casts a shadow that is 28 feet. how long is the girls shadow

### math

If a person standing 5 feet tall casts a shadow 12 feet long, then how long is a tree's shadow if a tree stands 17.5 feet tall?

### math

If a person standing 5 feet tall casts a shadow 12 feet long, then how long is a tree's shadow if a tree stands 17.5 feet tall?

### math

tree casts a shadow 32 feet on the ground. If the distance from the end of the shadow to the top of the tree is 40 feet, how tall is the tree?

A lamppost casts a shadow of a man who is standing 15 feet away from the lamppost. The shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50. To the nearest foot, the lamppost is _____ feet tall. (Points : 2)

### math

a vertical pole 5 feet long casts a shadow of 2 feet if at the same time a nearby shadow of 10 feet how tall is the tree

### trig

at one point in the day, a tower that is 150 feet high casts a shadow that is 210 feet long. Find, to the nearest tenth of a degree, the angle of elevation of the sun at that point

### algebra

if a 6-foot -tall man casts a shadow that is 13 feet long, how tall is a tree that casts a shaow that is 169 feet long?

### math

A pole 12 feet tall casts a shadow 9 feet long. How tall is a tree that casts a shadow 54 feet long?

### math

At the time that a 55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. Which measure is the closest to the length of the shadow she will cast?

### math

A tree casts a shadow of 28 feet. At the same time, a biologist who is 7 feet tall casts a shadow of 2 feet. How tall is the tree?

### Math

A tree is 18 feet tall and casts a shadow that is 22 feet long. How fat is it from the end of the shadow to the top of the tree

### Geometry

A tree stands 22 feet tall and is 382 feet from a building. The tree casts a shadow that is 40 feet long. How tall is the building? I got 211 feet, but I do not think that is correct. Can you tell me what I am doing wrong? I set it up like this h/382=22/40 Thank you!

### algrbra

A pine tree casts a shadow that is 49 feet long. A 10 foot sign next to it casts a shadow that is 8 feet long. How tall is the pine tree?

### Geometry

Starla is 5feet 9inches tall. To find the height of a tree,she measured her shadow and the tree's shadow. Her shadow was 8feet long when the trees shadow was 30 feet long. To the nearest foot,how tall is the tree?

### Math

1) A television tower is 160 feet high and an observer is 120 feet from the base of the tower. Find, to the nearest degree, the angle of elevation of the top of the tower from the point of observation. 2) A vertical pole 22 meters tall casts a shadow 16 meters long on level ...

### geometry

Shalonda notices that when she stands next to the flagpole, she casts a shadow that is 8 feet long and that the flagpole casts a shadow that is 28 feet long. Little Shalonda is 4 feet tall. How tall, to the nearest foot, is the flagpole?

### algebra 2

Shalonda notices that when she stands next to the flagpole, she casts a shadow that is 8 feet long and that the flagpole casts a shadow that is 28 feet long. Little Shalonda is 4 feet tall. How tall, to the nearest foot, is the flagpole?

### Geometry Honors

A tree stands 22 feet tall and is 382 feet from a building. The tree casts a shadow that is 40 feet long. How tall is the building?

### math

The top of a billboard is 30 feet above ground. The billboard casts a 235 feet long shadow. What is the angle of elevation from the tip of the shadow to the sun?

### geometry

If Dave is 6 feet tall and casts a shadow of 15 feet, what is the height of a tree that casts a shadow of 81 feet? Draw a diagram and solve for the height of the tree.

### Algebra

A tree is 38.5 feet tall casts a shadow that is 9 feet 4 inches long.A utility pole beside the tree casts a shadow that is sixty-four inches long.Find the height of the utility pole. Show work

### Math

Jacob stands 4.5 feet tall and casts a 2.7 foot shadow. A. Using this relationship, determine how tall Jacob's house is if the house's shadow measures 19.2 feet. Assume the triangles are similar. B. Explain the concept of indirect measurement and how it is used in this ...

### math

Mr Noonans daughter Kira is 5 feet tall. She casts a shadow that measures 216 feet long at the sme time that a sculture in the park casts a shadow 12 feet long. Which of the following is the approximate height of the sculpture?

### MATH

A person who is 6 feet tall is standing 117 feet from the base of a tree, and the tree casts a 130 foot shadow. The person's shadow is 13 feet in length. What is the height of the tree?

### math

roger is 5 feet tall and casts a shadow 3.5 feet longer. at the same time,the flagpole outside his school casts a shadow 14 feet long. write and solve a

### Precalculus

A 60-foot tree casts a shadow 85 feet long. The sine of the angle of elevation of the top of the tree to the sun is approximately ___. A. .82 B. .75 C. .58 D. .33

### ssc..math

A tree 30 feet tall casts a shadow 7 feet at the same time that a flagpole casts a shadow 5 feet .Find the height of the flagpole .

### geomary

in sunlight, a vertical stick 7 ft tall casts a shadow 3 ft long. At the same time a nearby tree casts a shadow 11 ft long. How tall is the tree?Round to the nearest tenth.

### geometry

Shalonda notices that when she stands next to the flagpole, she casts a shadow that is 8 feet long and that the flagpole casts a shadow that is 28 feet long. Little Shalonda is 4 feet tall. How tall, to the nearest foot, is the flagpole? step by step on how to do it?

### Math

A flagpole casts a shadow of 23.5 feet long.at the same time of day, Ana, who is 5.5 feet tall, casts a shadow that is 7.5 feet long. How tall in feet is the flagpole?

### Geometry

A tree cast a shadow on the ground and forms an angle of elevation of 22°. If the shadow is 15 feet long, how tall is the tree?

### Trigonometry

The Chrysler Building casts a shadow approximately 130 feet long on the street when the Sun's rays form an 82.9 angle with the Earth. Approximately how tall is the building? Round you answer to four decimal places.

### geometrY

to estimate the height of a tree, Dave stands in the shadow of the tree so that his shadow and the tree's shadow end at the same point. Dave is 6 feet 4 inches tall and his shadow is 15 feet long. If he is standing 66 feet away from the tree, what is the height of this tree?

### math

A warehouse is 120 feet tall and casts a shadow 288 feet long. At the same time, julie casts a shadow 12 feet long. how tall is julie?

### math

Don't laugh at me lol...it says Jamal is 5 feet tall. One sunny morning he notices that he casts a shadow that is 2 feet long. If the school building casts a shadow that is 7 feet long at the same time, what is the height of the building?

### math

A tree casts a shadow that measures 4 ft, At the same time, a yardstick casts a shadow that is 9 in long. How tall is the pole? Assuming that the light comes from the same sources (in this case, the sun), the ratio of the yardstick (one yard) and its shadow (9 inches) equal ...

### Geometry...

The angle of elevation of the sun at 10:00 a.m. is 29 degree. At this point, a tree shadow's is 32 feet long. How tall is the tree? IS THE ANSWER 15.5 FT?

### Geometry

A tree casts a shadow that is 70 feet long. At the same time a person is standing nearby who is 5 feet 6 inches tall and their shadpw os 60 inches long. What is the proportion and what is the height of the tree?

### math

A telephone pole casts a shadow 16 feet long at the same time that a man 6 feet tall casts a shadow of 2.4 feet. How tall is the pole?

### algebra

roger is 5 feet tall and casts a shadow 3.5 feet longer. at the same time,the flagpole outside his school casts a shadow 14 feet long. write and solve a proportion to find the height of the flagpole.

### Math

At a certain time, a verical pole 10 feet tall casts a 14-foot shadow. What is the angle of elevation of the sun to the nearest degree?

### Math

At a certain time a verical pole 10 feet tall casts a 14-foot shadow. What is the angle of elevation of the sun to the nearest degree?

### math

A man is six feet tall and casts a shadow 4 feet long. At the same time a child is 4.5 feet tall, how long is her shadow?

### Math

A flagpole is 20 feet tall and, in the afternoon, casts a shadow of 30 feet. At the same time, Keira casts a shadow of 7.5 feet. How tall is Keira? A. 3 feet. B. 4 feet. C. 5 feet. D. 5 feet

### math

if a 3-foot -tall child casts a shadow that is 2 feet long, how tall is a telephone pole that casts a shadow that is 40 feet long?

### Math

Miguel is 5 feet 10 inches tall. On a sunny day he casts a shadow 4 feet 2 inches long. At the same time, a nearby electric tower casts a shadow 8 feet 9 inches long. How tall is the tower? How do I set this up into ratios to figure out the tower height?

### geometrY

See the last picture at the bottom of this web page (for a pic of this exact problem). Using ratios, Tree height = T 15/66 = 6.33/T 15T = 512.73 T = 34.182 T = 34.182 when getting this answer from my question: to estimate the height of a tree, Dave stands in the shadow of the ...

### math

Cara is five feet tall and casts a shadow of eight feet long. At the same time, a building casts a shadow 32 feet long. What is the height of the building?

### algebra 2

a tree casts a shadow of 34 feet. the angle of th elevation of the sun is 52. what is the height of the tree?

### math

On a sunny day, a 6-foot man casts a shadow that is 11 feet long. The shadow of a nearby oak tree is 66 feet long. Find the height of the tree.

### math

a 6 foot red casts a shadow that is 7 feet long. the shadow of a nearby tree is 42 feet long. slove a proportion to find the height of the tree

### Math

I need a step by step solution to this problem. I'm preparing for the GKT and I can't remember how to solve these problems. This is just a sample question from the gkt practice packet. A building 51 feet tall casts a shadow 48 feet long. Simultaneously, a nearby statue casts a...

if a person is 6 feet tall and casts a 9 foot shadow, how tall would the shadow of a 100 foot tall tree be?

### math

A 6.5 foot tall person casts a shadow that is 10 feet long. How tall is a building that casts a shadow that is 43 feet long?

Two trees stand side-by-side. The shorter tree is feet tall. Its shadow is 9 feet long. The taller tree is feet tall. How long is its shadow?

### Math

A tree casts a shadow 10 feet long. A 6-ft. man casts a shadow 4 ft. long. The triangle formed by the tree and its shadow is similar to the triangle formed by the man and his shadow. How tall is the tree?

A flagpole casts a shadow 27 feet long. A person standing nearby nearly casts a shadow 8 feet long. If the person is 6 feet tall, how tall is the flagpole

### math

A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft long. The triangle sjown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft tall, how tall is the tree? I got 20 ft. I made a ...

### Math

A man 6 1/2 feet tall casts a shadow that is 11 feet long . A building casts a shadow of 132 feet long. What is the height if the building?

### Math117A

An object 4.2 feet tall casts a shadow that is 12.6 feet long. How long in feet would the shadow be for an object which is 20.4 feet tall? a.12 feet B.6.8 feet C.28.8 feet d.61.2 feet

### math117A

An object 4.2 feet tall casts a shadow that is 12.6 feet long. How long in feet would the shadow be for an object which is 20.4 feet tall? A.12 feet B. 6.8 feet C.28.8 feet D.61.2 feet

### Math

a pine tree casts a shadow that is 7.9 feet long when the sun is 80 degrees above the horizon find the height of the tree

### Geometry

A person who is 5 feet, 6 inches (5.6 feet) tall casts a shadow (from N to S) that is 12 feet long. The distance along the ground from the person (N) to the flagpole (G) is 18 feet. Find the height of the flagpole (FG) showing all calculations.

### geometry

A person who is 5 feet, 6 inches (5.5 feet) tall casts a shadow (from N to S) that is 12 feet long. The distance along the ground from the person (N) to the flagpole (G) is 18 feet. Find the height of the flagpole (FG) showing all calculations. What is the length of SP and PF?

### math

A building 65 feet tall casts a shadow 175 feet long. Ben casts a shadow 14 feet long. How tall is Ben?

### trig

a 6 foot tall man is standing near a tree on level ground .if the man shadow 4 feet long .how many feet tall is the tree?

### Math

At 10 am on April 26, 1998, a building 300 feet high casts a shadow 50 feet long. What is the angle of elevation of the Sun

### Math

at 10:00 am on April 26, 2006, a building 300 feet high casts a shadow 50 feet long. What is the angle of elevation of the sun?

### Math

A man wants to remove a tall pine tree from his yard. Before he goes to home depot, he needs to know how tall an extension ladder he needs to purchase. He measure the shadow of the tree to be 225 feet long. At the same time he measures the shadow of a 4 foot stick to be 3 feet...

### math

What is the angle of elevation of the sun when a tree 7.15m tall casts a shadow 10.1m long

### algebra 2

An object's height varies directly with the length of its shadow. A person who is 5 feet tall casts an 8-foot shadow. How long is the shadow of a 20-foot tree?

### math

The height of an object varies directly with the length of its shadow. A person who is 6 feet tall casts a 15-foot shadow. How long is the shadow of a 20-foot tree? answer

### MATH

The height of an object varies directly with the length of its shadow. A person who is 6 feet tall casts a 15-foot shadow. How long is the shadow of a 20-foot tree? answer

### maths

A tree casts a shadow 4 metre long on the ground, when the angle of elevation of the sun is 45°.find the height of the tree