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?

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