Jason places a mirror on the ground 40 feet from the base of a tree. He walks backwards until he can see the top of the tree in

Question

3 years ago

7

Jason places a mirror on the ground 40 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 8 feet from the image in the mirror. What is the height of the tree?

Mathematics

2 answers:

Olegator [25] · Answer 1 · 2022-03-31T04:41:36+03:00

Olegator [25]3 years ago

8 0

Answer:

30 feet

Step-by-step explanation:

MakcuM [25] · Answer 2 · 2022-03-31T02:36:19+03:00

Given that the angle of incidence is equal to the angle of reflection, we can state tha the angle formed by the eyes of Jason with the mirror is equal to the angle formeb by the top of the three with the same mirror.

Then, you can write this similarity equation:

[height of the eyes of Jason] / [distance from the poistion of Jason to the image on the mirror] = [height of the tree / distance from the mirror to the base of the tree]

6feet / 8feet = x/40feet

x = 40feet *[6/8] = 30 feet.

Answer: 30 feet.