Direction-sense: net position after rectangular path: Laxman went 15 km North, turned West 10 km, turned South 5 km, then turned East 10 km. In which direction is he from his house now?

Difficulty: Easy

Correct Answer: North

Explanation:


Introduction / Context:
Track displacements on perpendicular axes to find final position relative to start.


Given Data / Assumptions:

  • Northern leg: +15 km.
  • Western leg: -10 km x; Eastern leg: +10 km x.
  • Southern leg: -5 km y.


Concept / Approach:
Net x = -10 + 10 = 0; Net y = +15 - 5 = +10. Net position is directly North of origin.


Step-by-Step Solution:

Start (0,0).After North 15 → (0,15).West 10 → (-10,15).South 5 → (-10,10).East 10 → (0,10) ⇒ due North.


Verification / Alternative check:
East and West legs cancel completely.


Why Other Options Are Wrong:
East/West imply horizontal offset; South implies negative y, which is not the case.


Common Pitfalls:
Reporting facing instead of relative position; here we need direction of Laxman from house.


Final Answer:
North

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