[tex]\begin{gathered} \text{ We have that } \\ \sin 60=\frac{12}{x} \\ \text{thus } \\ x\cdot\sin (60)=12 \\ x=\frac{12}{\sin (60)} \\ x=\frac{12}{\frac{\sqrt[]{3}}{2}} \\ \\ x=\frac{24}{\sqrt[]{3}}\text{ , multiplying up the numerator and denominator by }\sqrt[]{3} \\ x=\frac{24\sqrt[]{3}}{3} \\ \\ x=8\sqrt[]{3} \end{gathered}[/tex]
