Question

r x in the triangle. round your answer to the nearest tenth.

x =

Explanation:

Step1: Use trigonometric ratio

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, \(\theta = 26^{\circ}\), the opposite side is \(x\) and the adjacent side is \(20\). So, \(\tan(26^{\circ})=\frac{x}{20}\).

Step2: Solve for \(x\)

We know that \(\tan(26^{\circ})\approx0.4877\). Then \(x = 20\times\tan(26^{\circ})\). Substitute \(\tan(26^{\circ})\approx0.4877\) into the equation: \(x\approx20\times0.4877 = 9.754\).

Answer:

\(x\approx9.8\)