Question

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

Explanation:

Step1: Use tangent function

In right - triangle JIH, $\tan(x)=\frac{IH}{JI}$. Here, $IH = 46$ and $JI=57$. So, $\tan(x)=\frac{46}{57}$.

Step2: Find the angle

$x=\arctan(\frac{46}{57})$. Using a calculator, $x=\arctan(\frac{46}{57})\approx38.9^{\circ}$.

Answer:

$38.9^{\circ}$