Question

Use the trigonometric equation to calculate the distance the rope needs to cover in order to cross the river to reach the next checkpoint. Round to one decimal place

Answer 1

Let x be the distance the rope needs to cover.

Using trigonometric equation in the given figure, we get

`\begin{gathered} \tan 38^(\circ)=\frac{Opposite\text{ side}}{\text{Adjacent side}} \\ \tan 38^(\circ)=\frac{x}{30\text{ ft}} \\ \tan 38^(\circ)*30\text{ ft=x} \\ 23.4\text{ ft=x} \end{gathered}`

Therefore, 23.4 ft distance is to be covered by the rope.