estimate the length of the zip line and round to the nearest tenth of a foot

Let the length of the zip line be z.
Then
[tex]\cos 30^{\circ}=\frac{23.6}{z}[/tex][tex]\Rightarrow\frac{\cos 30^{\circ}}{1}=\frac{23.6}{z}[/tex]Cross-multiplying, we have
[tex]\begin{gathered} z\cos 30^{\circ}=23.6 \\ \Rightarrow z=\frac{23.6}{\cos 30^{\circ}}=27.3ft \end{gathered}[/tex]Hence the Option B is the correct choice