Rectangle loop and current heading: A walks 5 km north, left 3 km (west), then left 5 km (south). In which direction is he going now?

Difficulty: Easy

Correct Answer: South

Explanation:


Introduction / Context:
A compact orientation check after two left turns from an initial northbound path.


Given Data / Assumptions:

  • Start facing North, go 5 km.
  • Left turn ⇒ West, go 3 km.
  • Left turn ⇒ South, go 5 km.


Concept / Approach:
Each left turn is a 90° anticlockwise rotation of the heading. Track headings explicitly.


Step-by-Step Solution:

North → (left) West → (left) South.


Verification / Alternative check:
Visualising a U-shaped path confirms the final leg heads south.


Why Other Options Are Wrong:

  • North/East/West contradict the second left turn outcome.


Common Pitfalls:
Interpreting “direction going now” as a location question; it asks the present heading.


Final Answer:
South

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