the boy observed the top of an electric pole at an angle of elevation of 60 degrees when the observation point is 8m away from the foot of the pole . find the height of the pole.
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From the figure, in ∆OAB
OB = 8 meters
∠AOB = 60°
✎ Let, height of the pole = AB = h meters
( We know the adjacent side and we need to find the opposite of ∠AOB in the triangle ∆OAB. Hence we need to consider the trigonometric ratio " tan " to solve the problem ).
☞ tan60° = AB/OB
☞ √3 = h/8
☞ ∴ h = 8√3 m.
Hence the height of the pole is 8√3m .
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