Question

A ladder is leaning against a building and makes 32° angle with the ground. The top of the ladder reaches 20 feet up on the building.

What is the length of the ladder?

Answer 1

37.74

Explanation:

37.74

Answer 2

37.74 ft

Explanation:

An angle and its opposite side are known

Sin (of the angle)= opposite/ hypotenuse

The hypotenuse is equal to the length of the ladder, therefore solve the hypotenuse

Sin (32)= 20/ hypotenuse

hypotenuse= 20/ Sin (32)

Sin (32)=0.5299

hypotenuse= 20/ 0.5299

37.74 ft

Hopefully this helps :)