Question

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

Explanation:

Step1: Identify trig - function

Since we know the adjacent side ($4.4$) and the opposite side ($8.1$) to angle $x$, we use the tangent function. $\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$.
So, $\tan(x)=\frac{8.1}{4.4}$.

Step2: Solve for $x$

We take the inverse - tangent of both sides: $x = \tan^{- 1}(\frac{8.1}{4.4})$.
Using a calculator, $\frac{8.1}{4.4}\approx1.8409$.
Then $x=\tan^{-1}(1.8409)$.
$x\approx61.5^{\circ}$ (rounded to the nearest tenth of a degree).

Answer:

$x\approx61.5^{\circ}$