Hank can see the top of a tree in a mirror that is placed 475 cm from the tree when he stands 190 cm from the mirror. What is the height of the tree?

Question

asked Feb 24, 2022 137k views

1 Answer

Karcsi · Answer 1 · 2022-03-03T06:50:51+0000

Answer:

The height of the tree is 430cm

Explanation:

Given

The attached illustration

Required

The height of the tree

Let:

$h \to$ Hank's height

$H \to$ Tree height

$d \to$ distance between Hank and Mirror

$D \to$ distance between tree and Mirror

From the question, we have:

$\angle 1 = \angle 2$

This means that:

(H)/(D) = (h)/(d)

Make H the subject

H = (h)/(d) * D

So, we have:

H = (172cm)/(190cm) * 475cm

H = (172* 475cm)/(190)

H = (81700cm)/(190)

H = 430 cm