Solve for $x$.
\[
\sin 60^{\circ}=\frac{24}{x}
\]
20.8
9.4
0.036
27.7

Answer

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Answer

$\boxed{x \approx 27.71}$

Steps

Step 1 ：Rewrite the equation using the value of $\sin 60^\circ = \frac{\sqrt{3}}{2}$: $\frac{\sqrt{3}}{2} = \frac{24}{x}$

Step 2 ：Cross-multiply to get: $x \cdot \sqrt{3} = 48$

Step 3 ：Divide both sides by $\sqrt{3}$ to solve for x: $x = \frac{48}{\sqrt{3}}$

Step 4 ：Simplify the expression: $x \approx 27.71$

Step 5 ：$\boxed{x \approx 27.71}$