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 gr

Question

fomenos

10 months ago

8

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 gr

ound.Which is closest to, X the length of the Rope?

Mathematics

1 answer:

ArbitrLikvidat [17] · Answer 1 · 2024-01-13T06:31:33+03:00

ArbitrLikvidat [17]10 months ago

3 0

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