Question

Before rock climbing, Michelle wants to know how

high she will climb. She places a mirror on the

ground and walks backward until she can see the

top of the cliff in the mirror. She drew a sketch of

the situation. What is the height of the cliff?

Answer 1

22 feets

Explanation:

From the diagram attached :

We have two similar triangles which can be related proportionally :

Hence ;

Mitchell's height / distance from mirror = cliff height / cliff distance

Michelle's height = 5.5

Michell's distance from mirror = 4

Cliff height = h

Cliff distance from mirror = 16

We have ;

5.5 / 4 = h / 16

Cross multiply :

4 * h = 5.5 * 16

h = 88 / 4

h = 22 feets