2015 · Q72
From the top of a tower, the angles of depression of two objects P and Q (situated on the ground on the same side of the tower) separated at a distance of 100(3 -{3}) m are 45° and 60° respectively. The height of the tower is
Elementary MathematicsTrigonometry
- A200 m
- B250 m
- C300 m
- DNone of the above
Explanation
With height h, the 45° object is h away and the 60° object h/√3 away; h − h/√3 = 100(3−√3) gives h(√3−1)/√3 = 100√3(√3−1), so h = 300 m (option C).