UP TGT Mathematics Complex Numbers Test Series - Part 4

A tower is situated on a horizontal plane. From a point on the plane, the angle of elevation of the top of the tower is...

Type: MCQ • Marks: 1
A tower is situated on a horizontal plane. From a point on the plane, the angle of elevation of the top of the tower is α. On walking d meters towards the tower, the angle of elevation becomes β. The height of the tower is:
Options
A. d / (tan β - tan α)
B. d / (cot α - cot β)
C. d tan α tan β
D. d (tan β - tan α)
Explanation
h cot α - h cot β = d => h = d / (cot α - cot β).
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