Answer: [tex]80.2\ ft[/tex]
Step-by-step explanation:
Given
Zipline begins [tex]h=46\ ft[/tex] in the air
The angle of elevation is [tex]35^{\circ}[/tex]
Assume the length of the cable is l
from the figure, we can write
[tex]\Rightarrow \sin 35^{\circ}=\dfrac{46}{l}\\\\\Rightarrow l=\dfrac{46}{\sin 35^{\circ}}\\\\\Rightarrow l=80.19\approx 80.2\ ft[/tex]
