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A tower stands vertically on the ground. At a point on the ground, 15 m away from the foot of the tower, the angle of elevation of the top of the tower is $60 °$ . What is the height of the tower?

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143

152

153

122

answer is C.

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Detailed Solution

Given that, at a point on the ground, 15 m away from the foot of the tower, the angle of elevation of the top of the tower is

60 °

Substituting height = x, base BC=15 and

θ = 60 °

in the equation

t a n θ = h e i g h t b a s e

⇒ t a n 60 ° = x 15 ⇒ 3 = x 15 [∵ t a n 60 ° = 3] ⇒ x = 153

Thus the height will be

153

m.
Therefore the correct option is 3.

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