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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.

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 R class=

Respuesta :

Given:

[tex]\begin{gathered} \cos \theta=\frac{BC}{AC} \\ \cos 40\degree=\frac{BC}{12} \\ 0.766=\frac{BC}{12} \\ BC=0.766\times12 \\ BC=9.192\text{ ft} \end{gathered}[/tex]

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

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