2014 · Q52
The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60° and the angle of elevation of the top of the second tower from the foot of the first tower is 30°. The distance between the two towers is m times the height of the shorter tower. What is m equal to?
Elementary MathematicsTrigonometry
- A√2
- B√3
- C1/2
- D1/3
Explanation
d = 30 cot60° = 10√3; shorter tower height h = d tan30° = 10; d/h = √3.