ANSWER
[tex]35.5\degree[/tex]
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:
[tex]\tan x=\frac{\text{opposite}}{\text{adjacent}}[/tex]
Therefore, we have:
[tex]\begin{gathered} \tan x=\frac{5}{7} \\ \tan x=0.7143 \\ \Rightarrow x=\tan ^{-1}(0.7143) \\ x=35.5\degree \end{gathered}[/tex]
That is the value of x.
