Question

A 22 foot ladder leans against a building. If the angle the ladder makes with the ground is 52 degrees, what is the distance between the building and the base of the ladder? Round to the nearest tenth.(Hint: Draw a picture) (6.8c)(1 point)

Answer 1

Let's use cosine identity:

`\begin{gathered} \cos (\theta)=\frac{adjacent}{hy_{}po_{}te_{}nu_{}se} \\ \cos (52)=(dis\tan ce)/(22) \\ dis\tan ce=22\cdot\cos (52)=13.54455246 \\ dis\tan ce\approx13.5ft \end{gathered}`