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?

Question

Solve this multiple-choice question and choose the correct option.

Accepted Answer

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

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?

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