Answer:
959.4m
Explanation:
The diagram illustrating this problem is attached below:
The required length of the zipline is labeled x.
Using trigonometric ratios:
[tex]\cos \theta=\frac{\text{Adjacent Length}}{\text{Hypotenuse}}[/tex]
Therefore:
[tex]\begin{gathered} \cos 76=\frac{232.1}{x} \\ x\cos 76\degree=232.1 \\ x=\frac{232.1}{\cos 76\degree} \\ x=959.4m \end{gathered}[/tex]
Thus, 959.4 m of the line is needed.
