A tower subtends an angle 60° at a point A on the same level as the foot of the tower. B is a point vertically above A and AB = h. The angle of depression of the foot of the tower, measured from B is 30°. What is the height of the tower?
A.2h
B.2·5h
C.3h✓ Correct
D.3·5h
Explanation
From B (height h above A), angle of depression to foot of tower = 30°, so horizontal distance from A to foot of tower = h/tan 30° = h·√3. From A, angle of elevation to top of tower = 60°, so height of tower = h√3 × tan 60° = h√3 × √3 = 3h.
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