Question

solve for the value of x. round your answer to the nearest tenth.
20°
9

Explanation:

Step1: Use trigonometric ratio

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 20^{\circ}\), the opposite side is \(9\), and the adjacent side is \(x\). So, \(\tan(20^{\circ})=\frac{9}{x}\).

Step2: Solve for \(x\)

Rearrange the equation \(\tan(20^{\circ})=\frac{9}{x}\) to get \(x=\frac{9}{\tan(20^{\circ})}\).
We know that \(\tan(20^{\circ})\approx0.364\). Then \(x = \frac{9}{0.364}\approx24.7\).

Answer:

\(24.7\)