Question

A ladder is leaning against a

wall. The base of the ladder is
12 feet from the wall. The
ladder is 15 feet long. What is
the angle of elevation to the
place where the top of the ladder
hits the wall?

Answer 1

The angle of elevation is 36.87 degrees

Explanation:

see the attached figure to better understand the problem

In the right triangle ABC of the figure

`cos(\theta)=(AC)/(BC)` ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

`cos(\theta)=(12)/(15)`

`\theta=cos^(-1)((12)/(15))=36.87^o`