Multi-turn route and facing direction: A man walks 4 miles north, left 6 miles, right 3 miles, right 4 miles (rest), then straight 2 miles, right 1 mile. In which direction is he finally facing?

Difficulty: Medium

Correct Answer: South

Explanation:


Introduction / Context:
This problem checks directional tracking after multiple moves and turns, including a pause that does not affect heading.


Given Data / Assumptions:

  • Start facing north by implication.
  • Moves: N 4 → L (to west) 6 → R (to north) 3 → R (to east) 4 → rest → straight 2 (still east) → R (to south) 1.
  • Asked: final facing direction (not location).


Concept / Approach:
Track headings explicitly after each turn. Rest pauses do not alter heading; “straight” means continue current heading.


Step-by-Step Solution:

Initial: face North, go 4.Left turn ⇒ face West, go 6.Right turn ⇒ face North, go 3.Right turn ⇒ face East, go 4. Rest.Straight 2 ⇒ still face East.Right turn ⇒ face South, go 1.


Verification / Alternative check:
Representing headings as N, W, N, E, E, S confirms the final orientation is South.


Why Other Options Are Wrong:

  • North/East/West conflict with the last right turn to south.
  • South-east is a bearing, not a facing after a single orthogonal step.


Common Pitfalls:
Confusing “facing” with “position from start.” The question asks only the facing direction at the end.


Final Answer:
South

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