Question

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

Explanation:

Step1: Use tangent function

In right - triangle CDE, $\tan x=\frac{CD}{DE}$. Given $CD = 46$ and $DE = 87$. So, $\tan x=\frac{46}{87}$.

Step2: Find the angle

$x=\arctan(\frac{46}{87})$. Using a calculator, $x=\arctan(0.528736)$.
$x\approx27.8^{\circ}$

Answer:

$27.8^{\circ}$