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

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x