Find the blank in degrees round to the nearest hundredth

The given information is the opposite and adjacent side of the angle we are finding.
The trigonometric function tangent is given by the formula:
[tex]\tan \beta=\frac{\text{opposite}}{\text{adjacent}}[/tex]By replacing the given values, we can solve for B:
[tex]\begin{gathered} \tan \beta=\frac{3}{4} \\ \beta=\tan ^{-1}(\frac{3}{4}) \\ \beta=36.87\degree \end{gathered}[/tex]The answer is 36.87°.