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?

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:

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