Question

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.

Answer 1

Answer:

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 .