From two points x and y, 8m apart, and in line with a pole, the angle of elevation of the top of the pole are 30

^{o}and 60^{o}respectively. Fins the height of the pole assuming that x, y and the foot of the pole are the same horizontal plane and x and y are on the same side of the pole.-
**A.**

(sqrt{6}) -
**B.**

4(sqrt{3}) -
**C.**

(sqrt{3}) -
**D.**

(frac{12}{sqrt{3}})

##### Correct Answer: Option B

##### Explanation

From the diagram, WYZ = 60^{o}, XYW = 180^{o} – 60^{o}

= 120^{o}

LX = 30^{o}

XWY = 180^{o} – 120^{o} + 30^{o}

XWY = 30^{o}

WXY = XYW = 30^{o}

Side XY = YW

YW = 8m, sin 60^{o} = (frac{3}{2})

∴ sin 60^{o} = (frac{h}{YW}), sin 60^{o} = (frac{h}{8})

h = 8 x (frac{3}{2})

= 4(sqrt{3})