2020 · Q55
A tree of height 15 m is broken by wind in such a way that its top touches the ground and makes an angle 30° with the ground. What is the height from the ground to the point where tree is broken?
Elementary MathematicsTrigonometry
- A10 m
- B7 m
- C5 m
- D3 m
Explanation
If the tree breaks at height h, the broken part of length 15 − h makes 30° with the ground. Then sin30° = h/(15 − h) = 1/2, so 15 − h = 2h and h = 5 m. So the trunk broke 5 m above the ground.