Question

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Answer 1

12 divided by sin(60) equals to 8square root 3

Answer 2

Answer:

8$\sqrt{3}$

Step-by-step explanation:

Using the sine ratio in the right triangle and

sin60° = $\frac{\sqrt{3} }{2}$

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{12}{y}$

Multiply both sides by y

y × sin60° = 12, that is

y × $\frac{\sqrt{3} }{2}$ = 12 ← multiply both sides by 2

y × $\sqrt{3}$ = 24 ( divide both sides by $\sqrt{3}$)

y = $\frac{24}{\sqrt{3} }$

  = $\frac{24}{\sqrt{3} }$ × $\frac{\sqrt{3} }{\sqrt{3} }$

  = $\frac{24\sqrt{3} }{3}$ = 8$\sqrt{3}$