Find the value of x in the figure above
-
A.
20(sqrt{3})cm -
B.
10(sqrt{3})cm -
C.
5(sqrt{3})cm -
D.
4(sqrt{3})cm
Correct Answer: Option B
Explanation
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
There is an explanation video available below.