Question 9

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Jambmaths question: 

Find the value of X in the figure above

Option A: 

$4\sqrt{3}cm$

Option B: 

$5\sqrt{3}cm$

Option C: 

$10\sqrt{3}cm$

Option D: 

$20\sqrt{3}cm$

Jamb Maths Solution: 

$\begin{align}  & \text{Using the sine rule} \\ & \frac{10cm}{\sin {{30}^{\text{o}}}}=\frac{x}{\sin {{60}^{\text{o}}}} \\ & x=\frac{10cm\times \sin {{60}^{\circ }}}{\sin {{30}^{\circ }}}=\frac{10cm\times \tfrac{\sqrt{3}}{2}}{\tfrac{1}{2}} \\ & x=\frac{10\times \sqrt{3}\times 2}{2}=10\sqrt{3}cm \\\end{align}$

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