Relative position after a closed rectangle with unequal verticals: Ashok: South 8 km → West 3 km → North 5 km → East 3 km. In which direction is he from the start now?

Difficulty: Easy

Correct Answer: South

Explanation:

Introduction / Context:We determine the bearing of Ashok’s final position relative to his starting point after four orthogonal legs.

Given Data / Assumptions:

  • S 8 → W 3 → N 5 → E 3.

Concept / Approach:Compute net displacement.

Step-by-Step Solution:

x: −3 + 3 = 0.y: −8 + 5 = −3.Net = (0, −3) ⇒ due South of start.

Verification / Alternative check:Horizontal legs cancel; vertical legs leave 3 km southward residue.

Why Other Options Are Wrong:They imply different nonzero components not present.

Common Pitfalls:Confusing “direction faced” with “direction from start”—here it asks the latter.

Final Answer:South

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