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

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 ：\(\boxed{x \approx 27.71}\)