Question

>12 POINT QUESTION

A cat is stuck in a tree. A firefighters 15-foot ladder is the leaning against a tree. The ladder and the ground form a 62° angle. How high above the ground does the ladder touch the tree? Round to the nearest hundredth. (Show Work!)

Answer 1

please see the attached figure to better understand the problem

we know that

in the triangle ABC
AB=15 ft
BC=high above the ground

sin 62=BC/AB---------> BC=AB*sin 62-------> BC=15*sin 62-----> BC=13.24 ft

the answer is
13.24 ft