Before rock climing, fernando, who is 5.5 ft tall, wants to know how high he will climb. he places a mirror on the ground and walks six feet backwards until he can see the top of the cliff in the mirror.

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 of the cliff, the cliff side and the ground.

In addition both triangles are congruent, hence we can use the following relation to find :

Iolating :

This is the height of the cliff

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step-by-step explanation: