Kamu walks 5 km West from home, then 3 km North, then 2 km West, then 3 km South, then 3 km West. In what direction is she now from her house?

Difficulty: Easy

Correct Answer: West

Explanation:


Introduction / Context:
Determine the final bearing of Kamu’s location relative to home after successive axis moves. Only the direction (not the distance) is required.



Given Data / Assumptions:

  • x (East–West): −5 − 2 − 3 = −10 km → 10 km West.
  • y (North–South): +3 − 3 = 0 → vertically aligned with home.


Concept / Approach:
Since the net North–South displacement is zero and the net East–West displacement is negative, the only direction component remaining is West.



Step-by-Step Solution:
Final coordinates: (−10, 0) relative to home.Hence, the direction from home is West.



Verification / Alternative check:
A sketch shows ending on the same horizontal line as home but 10 km to the left (West).



Why Other Options Are Wrong:
North/South require a y offset; East contradicts the net West displacement.



Common Pitfalls:
Dropping a minus sign while summing the three Westward legs.



Final Answer:
West

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