2016 · Q74
Two men on either side of a tower 75 m high observe the angle of elevation of the top of the tower to be 30° and 60°. What is the distance between the two men ?
Elementary MathematicsTrigonometry
- A1003 m
- B753 m
- C{1003}3 m
- D603 m
Explanation
Option '1003 m' renders 100√3 m. The distances are 75/tan30° = 75√3 and 75/tan60° = 75/√3; the men stand on opposite sides, so the total distance is 75√3+75/√3 = 100√3 m (option A).