Amit walks 30 m East, then right 40 m (South), then left 30 m (East). From the starting point, which direction is he now?

Introduction / Context:We must find the bearing of the final point relative to the origin after a sequence of axis moves. Only the quadrant is asked (not the exact angle).

Given Data / Assumptions:

• East 30 m → (30, 0).
• Right from East is South → 40 m → (30, −40).
• Left from South is East → 30 m → (60, −40).

Concept / Approach:Positive x means East of start; negative y means South of start. Combine signs to get the quadrant.

Step-by-Step Solution:Final coordinates: (60, −40).x > 0 → East; y < 0 → South.Therefore quadrant = South-East.

Verification / Alternative check:A quick sketch shows the point down and to the right of the origin, confirming South-East.

Why Other Options Are Wrong:North-East requires y > 0; pure East requires y = 0; South is x = 0 and y < 0.

Common Pitfalls:Mixing up left/right turns relative to current heading.

Final Answer:South - East