Question

solve for x. round to the nearest tenth, if necessary.

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan V=\frac{opposite}{adjacent}\). Here, \(\angle V = 50^{\circ}\), the opposite side to \(\angle V\) is \(WT = 7.7\), and the adjacent side to \(\angle V\) is \(WV=x\). So, \(\tan V=\frac{WT}{WV}\).
Substituting the values, we get \(\tan50^{\circ}=\frac{7.7}{x}\).

Step2: Solve for \(x\)

We know that \(\tan50^{\circ}\approx1.19\). Then, from \(\tan50^{\circ}=\frac{7.7}{x}\), we can rewrite it as \(x=\frac{7.7}{\tan50^{\circ}}\).
Substitute \(\tan50^{\circ}\approx1.19\) into the formula: \(x=\frac{7.7}{1.19}\).
Calculate \(\frac{7.7}{1.19}\approx6.5\).

Answer:

\(x\approx6.5\)