Answer: 72 ft
Step-by-step explanation:
We can solve this problem using geometry, if we draw two righ triangles (figure attached):
-One formed by you, assuming you are 6 ft tall, and the ground
-The other formed by the height of the cliff, the bottom of the cliff and the ground.
Both triangles are congruent, having the mirror as a common vertex, hence we can use the following relation to find :
[tex]\frac{6 ft}{y}=\frac{5 ft}{60 ft}[/tex]
Isolating :
[tex]y=\frac{(60 ft)(6 ft)}{5 ft}=72 ft[/tex] This is the height of the cliff
