2025 · Q59
A point P on the ground is on the same line as the bases and the tips of a pair of trees A and B such that P is on the left of both these trees. The ratio of heights of A and B is 1:3. If the distance between P and A is a metre, then the distance between A and B, in metre, is
general-mental-abilityquantitative-aptitude
- Aa
- B2a
- C3a
- D4a
Explanation
Let tree A's height be h and tree B's be 3h, with P at distance a from A's base and A-B distance d. By similar triangles, h/a = 3h/(a+d), since P, both bases and both tips are collinear. This gives a+d = 3a, so d = 2a. Hence the distance between A and B is 2a metres.