Answer:
8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{y}[/tex]
Multiply both sides by y
y × sin60° = 12, that is
y × [tex]\frac{\sqrt{3} }{2}[/tex] = 12 ← multiply both sides by 2
y × [tex]\sqrt{3}[/tex] = 24 ( divide both sides by [tex]\sqrt{3}[/tex])
y = [tex]\frac{24}{\sqrt{3} }[/tex]
= [tex]\frac{24}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]
= [tex]\frac{24\sqrt{3} }{3}[/tex] = 8[tex]\sqrt{3}[/tex]
