A tower subtends an angle \( \alpha \) at a point on the same level as the root of the tower and...

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A tower subtends an angle \( \alpha \) at a point on the same level as the root of the tower and at a second point, \( b \) metres above the first, the angle of depression of the foot of the tower is \( \beta \). The height of the tower is
(A) \( b \cot \alpha \tan \beta \)
(B) \( b \tan \alpha \cot \beta \)
(C) \( b \tan \alpha \tan \beta \)
(D) None of these
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