Question

17. 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?

Top of cliff

х

mirror

Michelle

5.5 ft

4 ft

16 ft

A. 16.5

B. 17.5

C. 20

D. 22

Answer 1

22ft

Explanation:

Find the diagram attached

Since the triangles are mirror images of each other, this shows that they are similar triangles

Taking the ratio of the sides of the triangle and equating it to a constant, we will have;

5.5/4 = x/16

Cross multiply

4 * x =5.5 * 16

4x = 88

x = 88/4

x = 22ft

Hence the required value of x is 22ft