Find the value of x in the figure above
Attached Figure / Diagram
A
20\(\sqrt{3}\)cm
B
10\(\sqrt{3}\)cm
C
5\(\sqrt{3}\)cm
D
4\(\sqrt{3}\)cm
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
In the figure above, \(\frac{x}{\sin 60^o} = \frac{10}{\sin 30^o}\) (Sine rule)
x = \(\frac{10 \sin 60^o}{\sin 30^o}\)
= 10 x \(\frac{\sqrt{3}}{2} \times \frac{1}{2}\)
= 10 x \(\frac{\sqrt{3}}{2} \times \frac{2}{1}\)
= 10\(\sqrt{3}\)cm
Source: Myschool Past Questions Archive (Record #33159)