Question

A local high adventure park has a zip line that begins 46 feet in the air. The angle of elevation of the cable is 35º. Estimate the length of
the zip line cable. Round your answer to the nearest hundredth if necessary.

Answer 1

Answer: $80.2\ ft$

Step-by-step explanation:

Given

Zipline begins $h=46\ ft$ in the air

The angle of elevation is $35^{\circ}$

Assume the length of the cable is l

from the figure, we can write

$\Rightarrow \sin 35^{\circ}=\dfrac{46}{l}\\\\\Rightarrow l=\dfrac{46}{\sin 35^{\circ}}\\\\\Rightarrow l=80.19\approx 80.2\ ft$