2012 · Q57
The angles of elevation of the top of a tower from two points which are at distances of 10 m and 5 m from the base of the tower and in the same straight line with it are complementary. The height of the tower is:
Elementary MathematicsTrigonometry
- A5 m
- B15 m
- Csqrt(50) m
- Dsqrt(75) m
Explanation
h/10 = tan theta and h/5 = cot theta give h^2 = 50, so h = sqrt(50) m.