Question

find x. round your answer to the nearest tenth of a degree.

Explanation:

Step1: Recall tangent function

In a right - triangle, $\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side to angle $x$ is 27 and the adjacent side is 21. So, $\tan(x)=\frac{27}{21}$.

Step2: Calculate the value of $x$

$x = \arctan(\frac{27}{21})$. First, simplify $\frac{27}{21}=\frac{9}{7}\approx1.2857$. Then $x=\arctan(1.2857)$. Using a calculator, $x\approx52.1^{\circ}$.

Answer:

$52.1$