Question

Find the length of side x in simplest radical form with a rational denominator.60X30°4

Answer 1

To get x

`\begin{gathered} \sin \text{ 60 =}(4)/(x) \\ \sin 60=\frac{\sqrt[]{3}}{2}\text{ } \\ \frac{\sqrt[]{3}}{2}=\text{ }(4)/(x) \\ \\ \Rightarrow To\det x,crossmultiply\text{ } \\ x\text{ = }\frac{8}{\sqrt[]{3}} \\ x\text{ = }\frac{8}{\sqrt[]{3}\text{ }}\text{ x}\frac{\sqrt[]{3}}{\sqrt[]{3}} \\ x\text{ = }\frac{8\sqrt[]{3}}{3} \end{gathered}`