(i)
(ii)
(iii)
(i)
\begin{aligned} \sin 60^{\circ} &=\frac{20}{x} \\ \frac{\sqrt{3}}{2} &=\frac{20}{x} \\ x &=\frac{40}{\sqrt{3}} \end{aligned}
(ii)
\begin{aligned} \tan 30^{\circ} &=\frac{20}{x} \\ \frac{1}{\sqrt{3}} &=\frac{20}{x} \\ x &=20 \sqrt{3} \end{aligned}
(iii)
\begin{aligned} \sin 45^{\circ} &=\frac{20}{x} \\ \frac{1}{\sqrt{2}} &=\frac{20}{x} \\ x &=20 \sqrt{2} \end{aligned}
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