# Geometry

A student wants to determine the height of a tree. She knows that her six foot tall Teacher cast a 10 foot long shadow at the same time that the tree has a 45 foot long shadow. How tall is the tree?

1. 👍
2. 👎
3. 👁
1. Cross multiply and solve this proportion for x.

6/10 = x/45

1. 👍
2. 👎
👤
Ms. Sue
2. x=27

1. 👍
2. 👎

## Similar Questions

1. ### trigonometry ans.

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 53°. Find the height of the tree to the nearest foot. I got 50xtan53 = 66.35 nearest foot ? would I use tan or sin since

2. ### geometry

Pine Tree In order to estimate the height h of a tall pine tree, a student places a mirror on the ground and stands where she can see the top of the tree, as shown. The student is 6 feet tall and stands 3 feet from the mirror

3. ### Geometry

George, who is 6.25-feet tall, needs to know the height of a tree that he is going to cut down. He notices that he casts a 10-foot shadow when the tree casts a 28-foot shadow. The height of the tree is feet tall. Enter only the

4. ### 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?

1. ### trig Elev. & Depress part ii

You are 55ft from a tree. The angle of elevation from your eyes, which are 4.5 ft off the ground,to the top of the tree is 61 degrees. To the nearest foot, how tall is the tree?

2. ### 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.

3. ### math

an airplane is flying at a height of 2 miles above the level ground. the angle of depression from the plane to the foot of a tree is 15 degree. Find the distance that the plane must fly to be directly above the tree.

4. ### 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.

1. ### math

In order to estimate the height 'h' of a tall pine tree, a student places a mirror on the ground and stands where she can see the top of the tree. The student is 6 feet tall and stands 3 feet from the mirror which is 11 feet from

2. ### Pre-Calculus

From a point on the ground 25 ft. from the foot of the tree, the angle of elevation of the top of the tree is 32 degrees. How do you find the height of the tree to the nearest foot?

3. ### Math

Use similar triangles to solve. A person who is 6 feet tall is standing 108 feet from the base of a​ tree, and the tree casts a 120 foot shadow. The​ person's shadow is 12 feet in length. What is the height of the​ tree?

4. ### math

To determine the height of a pine tree, you measure the shadow cast by the tree and find it to be 20 feet long. Then you measure the shadow cast by a 36-inch tall oak sapling and find it to be d = 12 inches long. Estimate the