Question

question solve for x. round to the nearest tenth, if necessary. answer attempt 1 out of 3 x = submit answer

Explanation:

Step1: Use cosine function

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 19^{\circ}\), the adjacent side to the angle \(19^{\circ}\) is \(RQ = 7.6\), and the hypotenuse is \(x\). So, \(\cos(19^{\circ})=\frac{7.6}{x}\).

Step2: Solve for \(x\)

Rearrange the formula to get \(x=\frac{7.6}{\cos(19^{\circ})}\). We know that \(\cos(19^{\circ})\approx0.9455\). Then \(x=\frac{7.6}{0.9455}\approx8.0\).

Answer:

\(8.0\)