Return to origin with four right turns: Sanmitra: North 3 km → right 2 → right 5 → right 2 → right 2. Which direction is he facing now?

Introduction / Context:We track heading through four right turns; the path actually returns to the start before the final leg completes.

Given Data / Assumptions:

• N 3 → E 2 → S 5 → W 2 → N 2.
• Asked: final facing after the last turn and walk.

Concept / Approach:Each right rotates 90° clockwise. Track: N → E → S → W → N.

Step-by-Step Solution:

Verification / Alternative check:Coordinate sum returns to (0, 0); heading remains the last move’s direction, North.

Why Other Options Are Wrong:They contradict the rotation sequence.

Common Pitfalls:Assuming “return to start” implies facing the original heading automatically—here it happens to match, but compute turns explicitly.

Final Answer:North