Question

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

Explanation:

Step1: Use tangent function

In right - triangle $\triangle TWV$, $\tan(V)=\frac{TW}{WV}$. Given $TW = 7.7$, $V = 50^{\circ}$ and $WV=x$. So, $\tan(50^{\circ})=\frac{7.7}{x}$.

Step2: Solve for $x$

We know that $\tan(50^{\circ})\approx1.1918$. Then, $x=\frac{7.7}{\tan(50^{\circ})}$. Substitute the value of $\tan(50^{\circ})$ into the formula: $x=\frac{7.7}{1.1918}\approx6.5$.

Answer:

$6.5$