Trigonometric Equations Question 171

Question: A tower subtends an angle of $ 30^{o} $ at a point distant d from the foot of the tower and on the same level as the foot of the tower. At a second point h vertically above the first, the depression of the foot of the tower is $ 60^{o} $ . The height of the tower is

[MP PET 1993]

Options:

A) h/3

B) h/3d

C) 3h

D) $ \frac{3h}{d} $

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Answer:

Correct Answer: A

Solution:

  • Trick: From $ H=l\tan \alpha ,.,\tan \beta $ , the height of tower is $ h\tan 30^{o}\cot 60^{o}\text{or }\frac{h}{3} $ .