Question

From the top of a school 60 feet high, the angle of depression to the road in front of the school contains 38°. Find to the nearest tenth of a foot, the distance from the road to the school.

Answer 1

This is a ramp with the form:

So we can use the sin law to find x:

$\sin (38)=\frac{60}{x}$

and we solve for x so:

$\begin{gathered} x=\frac{60}{0.62} \\ x=96.77 \end{gathered}$