Question

Ryan places a mirror on the ground 42 feet from the base of a tree. He walka 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

Answer 1

36 ft. And you behind on apex btw

Answer 2

Answer: 36 feet

Explanation:

Let x be the height of tree

From the question, we can see there is a directly proportional relationship.

therefore,
`\frac{\text{height of Jason's eye}}{\text{distance of mirror from Jason}}=\frac{\text{height of tree}}{\text{distance of tree from mirrror}}\\\\\Rightarrow(6)/(7)=(x)/(42)\\\\\Rightarrow\ x=(42*6)/(7)\\\\\Rightarrow\ x=36\ feet`

Hence, The height of the tree= 36 feet