From two points x and y, 8m apart, and in line with a pole, the…

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.

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})