# Algebra

Terence wants to estimate the height of a tree. He places a mirror on level ground, as shown in the picture below, and stands so that he can see the top of the tree in the mirror. Since light bounces off the mirror at the same angle at which it strikes the mirror, angle 1 equals angle 2, and ÄABC is similar to ÄCDE.

If Terrence's eyes are exactly 6 feet from the ground and the mirror is 20 feet from the tree and 1 foot from Terence, how tall is the tree?

1. 👍 0
2. 👎 0
3. 👁 195
1. can i get a formula?

1. 👍 0
2. 👎 0
posted by T
2. if i am correct it should be 120 because its cross mutiplying so 6*20=120/1= 120

1. 👍 0
2. 👎 0
posted by jacob
3. tg

1. 👍 0
2. 👎 0
4. 120 ft

1. 👍 0
2. 👎 0
5. 120

1. 👍 0
2. 👎 0
posted by d
6. Terence wants to estimate the height of a tree. He places a mirror on level ground, as shown in the picture below, and stands so that he can see the top of the tree in the mirror. Since light bounces off the mirror at the same angle at which it strikes the mirror, angle 1 equals angle 2, and ΔABC is similar to ΔCDE.

If Terrence's eyes are exactly 6 feet from the ground and the mirror is 20 feet from the tree and 1 foot from Terence, how tall is the tree?

1. 👍 0
2. 👎 0
posted by vannessa

## Similar Questions

1. ### 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

asked by Anonymous on January 17, 2012
2. ### 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

asked by Owen on February 12, 2015
3. ### Math

Standing 4ft from the mirror lying on the ground ground, Palmer who's eye height is 5ft 9inches, can reflection the top of the tree. He measures the mirror to be 24ft from the tree. How tall is the tree?

asked by Tan on December 30, 2016
4. ### Math

I am having a little trouble figuring this problem out if someone could help I would appreciate it. Question: The angle of elevation to the top f a tree sighted from ground level is 19degrees. If the observer moves 60 ft closer,

asked by Pam on July 21, 2016
5. ### Math

A boy is trying to find the height of a tree. When he stands 95.5 metres away from the tree (the distance D in Figure 2) the angle shown as è in Figure 2 is 31.5°. The boy’s eyes are 1.15 m from the ground (h in Figure 2).

asked by Jack on May 5, 2016
6. ### Math help

To find the height of a tree, Wyatt places a mirror so that he can see the top of the tree in the mirror. The mirror is 3 ft from him and 7.5 ft from the tree. If Wyatt is 5.5 ft tall, how tall is the tree? How would I solve this?

asked by Anonymous on December 6, 2014
7. ### Math

A tree is 36 feet tall and is located 9 feet from a mirror on the ground. If eye level height of person is 4.8 feet, then how far away are they from the mirror?

asked by Lisa Meredith on October 24, 2019
8. ### CST GEOMETRY

a tree is situated on level ground from a point 135 feet from the base of the tree the measure of the angle of elevation from the ground to the top of the tree is 43 degrees which is the height of the tree to the nearest foot?

asked by carolina on March 25, 2013
9. ### geometry

can someone please show me the answer for this problem ? a tree is situated on level ground from a point 135 feet from the base of the tree the measure of the angle of elevation from the ground to the top of the tree is 43 degrees

asked by ,,,,, on March 25, 2013
10. ### Math

Juan employs something called a mirror method. He places a mirror exactly 12 meters from the bottom of a maple tree and then walks backwards until he sees an image of the top of the tree . From the tree which is angle 1 and from

asked by linda on May 2, 2016

More Similar Questions