Question

A ladder leans against an apartment building at an angle of 40 degrees . The laddies is 12ft. Tall. How far is the bottom of the ladder from the base of the house? Round to the nearest foot.

Answer 1

Given:

`\begin{gathered} \cos \theta=(BC)/(AC) \\ \cos 40\degree=(BC)/(12) \\ 0.766=(BC)/(12) \\ BC=0.766*12 \\ BC=9.192\text{ ft} \end{gathered}`

The bottom of the ladder from the base of the house is 9 foot.