Question

Which is closest to x the length of the rope

Answer 1

By definition:

$\sin (angle)=\frac{\text{opposite side}}{\text{ hypotenuse}}$

From the picture:

$\begin{gathered} \sin (37)=\frac{167}{x} \\ x=\frac{167}{\sin (37)} \\ x=277.5\text{ ft} \end{gathered}$