Question

solve for x. round to the nearest tenth, if necessary.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use trigonometric ratio

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 39^{\circ}\), the opposite side to \(\theta\) is \(23\), and the adjacent side is \(x\). So, \(\tan39^{\circ}=\frac{23}{x}\).

Step2: Solve for \(x\)

We can rewrite the equation as \(x=\frac{23}{\tan39^{\circ}}\).
We know that \(\tan39^{\circ}\approx 0.80078\). Then \(x=\frac{23}{0.80078}\approx28.7\).

Answer:

\(28.7\)