Answer: 31. 16 ft
Step-by-step explanation:
The other part of the question is:
If the mirror is 34 feet from the cliff side, determine the height of the cliff.
We can solve this problem with geometry, if we imagine two righ triangles (figure attached):
-One formed by Fernando, who is 5.5 ft tall, and the ground
-The other formed by the height [tex]x[/tex] of the cliff, the cliff side and the ground.
In addition both triangles are congruent, hence we can use the following relation to find [tex]x[/tex]:
[tex]\frac{5.5 ft}{x}=\frac{6 ft}{34 ft}[/tex]
Iolating [tex]x[/tex]:
[tex]x=31.16 ft[/tex] This is the height of the cliff
