Find the length of side x in simplest radical form with a rational denominator.60°130°X

We will solve using the law of sines as follows:
[tex]\frac{1}{\sin(30)}=\frac{X}{\sin (60)}[/tex]Now, we solve for X:
[tex]\Rightarrow X=\frac{\sin(60)}{\sin(30)}\Rightarrow X=\sqrt[]{3}[/tex]So, the length of X is sqrt(3).