Question

i dont know how to solve with an x inside the right triangle

Answer 1

ANSWER

$35.5\degree$

EXPLANATION

We want to solve for x in the right triangle.

To do this, we have to apply trigonometric ratios SOHCAHTOA for right triangles. We will apply the tangent part:

$\tan x=\frac{\text{opposite}}{\text{adjacent}}$

Therefore, we have:

$\begin{gathered} \tan x=\frac{5}{7} \\ \tan x=0.7143 \\ \Rightarrow x=\tan ^{-1}(0.7143) \\ x=35.5\degree \end{gathered}$

That is the value of x.