Triangles And Properties Of Triangle Question 15

Question: A tower subtends an angle $ \alpha $ 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 $ \beta $ . The height of the tower is

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:

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