Question

solve for the missing angle.

Explanation:

Step1: Use the tangent function

In a right - triangle, $\tan x=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side is $300$ and the adjacent side is $400$. So, $\tan x=\frac{300}{400}=\frac{3}{4} = 0.75$.

Step2: Find the angle using the inverse tangent function

We know that $x = \tan^{- 1}(0.75)$. Using a calculator, $\tan^{-1}(0.75)\approx36.9^{\circ}$.

Answer:

$36.9$