Question

igonometric functions. follow the steps from your notes (1) label, (2) determin er to the nearest tenth. 22 58° x

Explanation:

Step1: Identify trigonometric ratio

We have a right triangle with angle \(58^\circ\), adjacent side \(x\), and opposite side \(22\). So we use \(\tan\) function: \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\)
\(\tan(58^\circ)=\frac{22}{x}\)

Step2: Solve for \(x\)

Rearrange the formula: \(x = \frac{22}{\tan(58^\circ)}\)
Calculate \(\tan(58^\circ)\approx1.6003\)
Then \(x=\frac{22}{1.6003}\approx13.7\)

Answer:

\(13.7\)