Walk 15 m North, then 10 m West, then 5 m South, then 10 m East. From the starting point, in which direction are you now located?

Difficulty: Easy

Correct Answer: North

Explanation:


Introduction / Context:
This is a straightforward net displacement computation with axis-aligned legs. The direction from the start is determined by the sign of the final y component.



Given Data / Assumptions:

  • North 15 → y = +15.
  • West 10 → x = −10.
  • South 5 → y = +10.
  • East 10 → x = 0.


Concept / Approach:
Sum x and y components. The final point (0, 10) lies directly above the origin on the North line.



Step-by-Step Solution:
x: −10 + 10 = 0.y: +15 − 5 = +10.Direction from origin to final point: North.



Verification / Alternative check:
Sketch the path: you end vertically above the start.



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



Common Pitfalls:
Answering with facing instead of location direction; the question asks for direction from the start.



Final Answer:
North

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