Trigonometric Equations Question 149

Question: A tower subtends an angle a at a point A in the plane of its base and the angle of depression of the foot of the tower at a point l meters just above A is b. The height of the tower is

[MP PET 1990; RPET 1990]

Options:

A) $ l\tan ,\beta ,\cot ,\alpha $

B) $ l\tan ,\alpha ,\cot ,\beta $

C) $ l\tan \alpha \tan ,\beta $

D) $ l\cot \alpha \cot ,\beta $

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Answer:

Correct Answer: B

Solution:

  • From figure, we can deduce $ H=l\tan \alpha \cot \beta $ .