Question

Find the blank in degrees round to the nearest hundredth

Answer 1

The given information is the opposite and adjacent side of the angle we are finding.

The trigonometric function tangent is given by the formula:

`\tan \beta=\frac{\text{opposite}}{\text{adjacent}}`

By replacing the given values, we can solve for B:

`\begin{gathered} \tan \beta=(3)/(4) \\ \beta=\tan ^(-1)((3)/(4)) \\ \beta=36.87\degree \end{gathered}`

The answer is 36.87°.