2026 · Q45
Two persons are on diametrically opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 60° respectively. If the height of the tower is 100 m, what is the approximate distance between the two persons?
Elementary MathematicsTrigonometry
- A220 m
- B225 m
- C230 m
- D235 m
Explanation
The distances are 100/tan30°=100√3 and 100/tan60°=100/√3. Their sum is 100(√3+1/√3)=400/√3≈230.9 m, approximately 230 m, option C. Using a rough tan30°≈0.5 instead of 1/√3 shifts the total noticeably, which is why the exact surd form matters.