Question

using trig to find a side
question
solve for $x$. round to the nearest tenth, if necessary.
answer
attempt 1 out of 3
$x=$

Explanation:

Step1: Identify the trigonometric ratio

In right - triangle \(WVU\), we know the adjacent side (\(V = 96\)) to the angle \(W=68^{\circ}\) and we want to find the hypotenuse (\(x\)). The cosine ratio is \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). So, \(\cos(68^{\circ})=\frac{96}{x}\).

Step2: Solve for \(x\)

Rearrange the formula \(\cos(68^{\circ})=\frac{96}{x}\) to get \(x = \frac{96}{\cos(68^{\circ})}\).
We know that \(\cos(68^{\circ})\approx0.3746\). Then \(x=\frac{96}{0.3746}\approx256.3\).

Answer:

\(256.3\)