Question

a contractor is on top of 167 ft Tower looking down at a 37 degree angle of depression at a package attached to a rope on the ground.Which is closest to, X the length of the Rope?

Answer 1

Using trigonometry ratio

$\sin 37^0=\frac{167}{x}$$\begin{gathered} 0.6018\text{ = }\frac{167}{x} \\ 0.6018x\text{ = 167} \\ x\text{ = }\frac{167}{0.6018}\text{ = 277.5ft} \end{gathered}$

x = 277.5 ft