Question

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

x=

Explanation:

Step1: Use the tangent function

In a right - triangle, $\tan x=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side to angle $x$ is $9$ and the adjacent side is $16$. So, $\tan x=\frac{9}{16}$.

Step2: Find the angle $x$

We know that $x = \arctan(\frac{9}{16})$. Using a calculator, $x=\arctan(0.5625)\approx29.4^{\circ}$.

Answer:

$29.4$