sin60=x/12

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{60}}^\circ\right)} = {\frac{{\mathtt{x}}}{{\mathtt{12}}}}$$

$${\mathtt{12}}{\mathtt{\,\times\,}}\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{60}}^\circ\right)} = {\mathtt{x}}$$

$${\mathtt{6}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}} = {\mathtt{x}}$$

If you want to check the solution, refer back to the unit circle. $$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{60}}^\circ\right)}$$ on the unit circle is  $${\frac{{\sqrt{{\mathtt{3}}}}}{{\mathtt{2}}}}$$ .  When you put  $${\mathtt{6}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}}$$  in place of x for the  $${\frac{{\mathtt{x}}}{{\mathtt{12}}}}$$ , you get  $${\frac{\left({\mathtt{6}}{\mathtt{\,\times\,}}{\sqrt{{\mathtt{3}}}}\right)}{{\mathtt{12}}}}$$ . Simplify that number further and you get  $${\frac{{\sqrt{{\mathtt{3}}}}}{{\mathtt{2}}}}$$ .