Question

solve for x. round your answer to the nearest tenth.
answer attempt 1 out of 2

Explanation:

Step1: Use trigonometric ratio

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 27^{\circ}\), the opposite side is \(13\), and the adjacent side is \(x\). So, \(\tan(27^{\circ})=\frac{13}{x}\).

Step2: Solve for \(x\)

Rearrange the formula to \(x=\frac{13}{\tan(27^{\circ})}\). We know that \(\tan(27^{\circ})\approx0.5095\). Then \(x=\frac{13}{0.5095}\approx25.5\).

Answer:

\(25.5\)