Question

If a 9.38-foot ladder makes a 65° angle with the ground, how many feet upa wall will it reach? Round your answer to the nearest tenth.

Answer 1

Let's take a look at the situation:

This way,

$\sin 65=\frac{y}{9.38}$

Solving for y,

$\begin{gathered} \sin 65=\frac{y}{9.38}\rightarrow y=9.38\sin 65 \\ \\ \Rightarrow y=8.5 \end{gathered}$

Thereby, it would reach 8.5 ft up the wall.