(Q6) A boy observed the top of an electric pole at an angle of elevation of 60o when the observation point is 8 meters away from the foot of the pole. Find the height of the pole

Solution :

From the figure, in triangle OAB

OB = 8 meters and ∠AOB = 60o.

Let height of the Pole = AB = h meters

AOBh8m60o

(we know the adjacent side and we need to find the opposite side of ∠AOB in the triangle ∆OAB. Hence we need to consider the trigonometric ratio “tan” to solve the problem)

tan 60° =
AB
√ =
h

h = √ m