Net bearing from the start after 5 legs: Walk 8 km North → right 12 km (East) → left 7 km (North) → 24 km South → right 12 km (West). In which direction is he from the start now?

Difficulty: Medium

Correct Answer: South

Explanation:


Introduction / Context:
We compute the net displacement and then state the bearing from the starting point.


Given Data / Assumptions:

  • N 8 → E 12 → N 7 → S 24 → W 12.


Concept / Approach:
Sum x and y components independently.


Step-by-Step Solution:

x: +12 − 12 = 0.y: +8 + 7 − 24 = −9.Net = (0, −9) ⇒ due South of the start.


Verification / Alternative check:
Horizontal movements cancel; vertical net is 9 km south.


Why Other Options Are Wrong:

  • North/East/West imply different nonzero components not present.


Common Pitfalls:
Forgetting to subtract the large southward leg from the total northward movement.


Final Answer:
South

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