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?
please help!
5 answers
can i get a formula?
if i am correct it should be 120 because its cross mutiplying so 6*20=120/1= 120
120 ft
120
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?
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?