Answer:
x = 6[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross multiply )
2x = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
x = 6[tex]\sqrt{3}[/tex]
