Trigonometrymedium · Past Paper
The angle of elevation of the top of a tower from two points at distances 'a' and 'b' (a > b) from the base and in the same straight line with it are complementary. The height of the tower is:
Aa+b
Ba-b
C√(ab)
Da/b
✓ Correct Answer: C — √(ab)
tan θ = h/a and tan(90-θ) = h/b. h/a * h/b = tan θ * cot θ = 1. h² = ab, so h = √(ab).
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