Question

Find the length of side x in simplest radical form with a rational denominator. 60° 71 30 х

Answer 1

By definition

`\tan (angle)=\frac{\text{opposite side}}{\text{adjacent side}}`

From the graph

`\begin{gathered} \tan (30)=(7)/(x) \\ \frac{1}{\sqrt[]{3}}=(7)/(x) \\ x=7\sqrt[]{3} \end{gathered}`