Let x be the distance the rope needs to cover.
Using trigonometric equation in the given figure, we get
[tex]\begin{gathered} \tan 38^{\circ}=\frac{Opposite\text{ side}}{\text{Adjacent side}} \\ \tan 38^{\circ}=\frac{x}{30\text{ ft}} \\ \tan 38^{\circ}\times30\text{ ft=x} \\ 23.4\text{ ft=x} \end{gathered}[/tex]
Therefore, 23.4 ft distance is to be covered by the rope.
