Nisha walks 29 km West; then 16 km South; then 13 km East; then 5 km North. Which direction from the start contains her final position?

Last Updated: 07 Sept 2026

ASouth-West

BNorth

CSouth

DEast

Correct Answer: South-WestYour Answer: A

Explanation

Step 1: Place the start at O(0,0); positive x means East and positive y means North. | Step 2: Combine East and West moves: the net horizontal coordinate is x = -16 km. | Step 3: Combine North and South moves: the net vertical coordinate is y = -11 km. | Step 4: Thus the final point is (-16,-11); its x-sign points West and its y-sign points South. | Step 5: Combining those two directions places the point in the South-West quadrant. | Step 6: Therefore the traveller is South-West of the starting point; distance is unnecessary because only direction is asked. | Final Answer: Option A — South-West.

Important Notes

Draw a small compass and fix the start at (0,0). |
Convert every East/West move into an x-change and every North/South move into a y-change. |
Use the signs of the final coordinates: (+,+) is North-East, (−,+) North-West, (+,−) South-East and (−,−) South-West. |
If one component is zero, the result is a cardinal direction. |
Direction depends on displacement, not on the order in which the same component moves are listed. |

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Nisha walks 29 km West; then 16 km South; then 13 km East; then 5 km North. Which direction from the start contains her final position?

Explanation

Important Notes

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