2010 · Q68
A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of 45° with the man’s eye when at a distance of 60 m from the bottom of tower. After 5 seconds, the angle of depression becomes 30°. What is the approximate speed of the boat assuming that it is running in still water ?
Elementary MathematicsTrigonometry
- A31.5 km/h
- B36.5 km/h
- C38.5 km/h
- D40.5 km/h
Explanation
Distance=60(√3-1)m in 5s ≈ 31.6 km/h ≈ 31.5 km/h.