Question

solve for $x$. round to the nearest tenth, if necessary.
answer attempt 2 out of 2
$x =$

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 28^{\circ}\), the opposite side to \(\theta\) is \(x\), and the adjacent side is \(95\). So, \(\tan(28^{\circ})=\frac{x}{95}\).

Step2: Solve for \(x\)

Multiply both sides of the equation \(\tan(28^{\circ})=\frac{x}{95}\) by \(95\). We know that \(\tan(28^{\circ})\approx0.5317\). Then \(x = 95\times\tan(28^{\circ})\).
Substitute \(\tan(28^{\circ})\approx0.5317\) into the equation: \(x=95\times0.5317 = 50.5115\approx50.5\)

Answer:

\(x = 50.5\)