Question

solve for x. round to the nearest tenth of a degree, if necessary. answer attempt 2 out of 2

Explanation:

Step1: Use tangent function

We know that $\tan(x)=\frac{opposite}{adjacent}$. In right - triangle $EFG$, the opposite side to angle $x$ is $57$ and the adjacent side is $63$. So, $\tan(x)=\frac{57}{63}$.

Step2: Calculate the value of $x$

$x = \arctan(\frac{57}{63})$. Using a calculator, $\frac{57}{63}\approx0.90476$. Then $x=\arctan(0.90476)$.
$x\approx42.1^{\circ}$

Answer:

$42.1^{\circ}$