2014 · Q51
The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun's elevation is 30° than when it is 60°. What is the height of the tower?
Elementary MathematicsTrigonometry
- A25 m
- B25√3 m
- C25/√3 m
- D30 m
Explanation
h cot30° - h cot60° = 50 gives h(√3 - 1/√3) = 50, so h = 25√3 m.