Facing East: turn left and go 10 m (North), then right 5 m (East), then 5 m South, then 5 m West. From the original place, in which direction are you now located?

Difficulty: Easy

Correct Answer: North

Explanation:

Introduction / Context:We compute the net displacement relative to the start after a sequence of axis-aligned moves.

Given Data / Assumptions:

  • Left from East → North 10.
  • Right from North → East 5.
  • South 5.
  • West 5.

Concept / Approach:Sum x and y components independently to get the final coordinates and infer direction from the start.

Step-by-Step Solution:x: +5 − 5 = 0.y: +10 − 5 = +5.Final point (0, 5) ⇒ due North of origin.

Verification / Alternative check:The East and West legs cancel; some North remains after the South leg.

Why Other Options Are Wrong:East/West require x ≠ 0; South would need y < 0.

Common Pitfalls:Mixing “direction you are facing” with “direction from origin to you.” The question asks the latter.

Final Answer:North

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