Relative location from start after L-shaped detours: Ramesh: West 3 km → left 2 km → right 3 km → right 2 km. In which direction is he from his starting point now?

Difficulty: Easy

Correct Answer: West

Explanation:

Introduction / Context:The question asks for Ramesh’s location relative to his starting point (not facing) after several orthogonal moves.

Given Data / Assumptions:

  • West 3, South 2 (left from West), West 3 (right from South), North 2 (right from West).

Concept / Approach:Component-wise displacement.

Step-by-Step Solution:

x: −3 + (−3) = −6.y: −2 + 2 = 0.Net = (−6, 0) ⇒ due West of the start.

Verification / Alternative check:Path symmetry shows the two 2 km vertical legs cancel.

Why Other Options Are Wrong:They imply nonzero y or positive x which do not occur.

Common Pitfalls:Answering with facing direction (North) instead of position; the prompt asks “in which direction is Ramesh from his starting point.”

Final Answer:West

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