Question

Ryan places a mirror on the ground 42 feet from the base of a tree. He walks backwards until he can see the top of the tree in the middle of the mirror. At that point, Jason's eyes are 6 feet above the ground and he is 7 feet from the image in the mirror. What is the height of the tree? A. 49 feet B. 36 feet C. 56 feet D. 39 feet

Answer 1

B, 36 feet will be your correct answer.

Answer 2

Answer: B. 36 feet

Explanation:

Let h denotes the height of tree

.

According to the question, it can be seen that there is a proportional relationship [Property of similar triangles] .

`\text{i.e.}\frac{\text{Tree's height}}{\text{Distance between tree and mirror }}=\frac{\text{Jason's height}}{\text{Distance between Jason and mirror}}\\\\\\\Rightarrow(h)/(42)=(6)/(7)\\\\\\\Rightarrow\ h=(6*42)/(7)=36`

Hence, the height of the tree= 36 feet.