Question

A boy observed the top of an electric pole at an angle of elevation of 60° when the observation point is 8 meters away from the foot of the pole. Find the height of the pole.
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Answer 1

Answer:

Step-by-step explanation:

Answer 2

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

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❝ ✿✿ Refer the image first ✿✿ ❞

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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