Am I right? \sin(70) = 232.1 / x234 - 1.9 = 232.1

Question

Am I right?
`\sin(70) = 232.1 / x`
`234 - 1.9 = 232.1`

Answer 1

959.4m

Step-by-step explanation:

The diagram illustrating this problem is attached below:

The required length of the zipline is labeled x.

Using trigonometric ratios:

`\cos \theta=\frac{\text{Adjacent Length}}{\text{Hypotenuse}}`

Therefore:

`\begin{gathered} \cos 76=(232.1)/(x) \\ x\cos 76\degree=232.1 \\ x=(232.1)/(\cos 76\degree) \\ x=959.4m \end{gathered}`

Thus, 959.4 m of the line is needed.