Relative position from start after rectangular path: Arun: A→B 10 km East, B→C 3 km North, C→D 12 km West, D→E 3 km South. From the starting point A, in which direction is point E?

Introduction / Context:A standard grid-walk with cardinal legs. We must identify the final location relative to the origin (A).

Given Data / Assumptions:

• A→B: +10 x.
• B→C: +3 y.
• C→D: −12 x.
• D→E: −3 y.

Concept / Approach:Sum x and y displacements separately to get E’s coordinates relative to A.

Step-by-Step Solution:

Verification / Alternative check:Drawing a quick rectangle shows overshoot by 2 km to the west after returning south.

Why Other Options Are Wrong:

• East/North/South would require nonzero x or y in those respective senses, which is not the case.

Common Pitfalls:Losing track of signs during the west leg; keep axes consistent.

Final Answer:West