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A person walks 10m North, turns right and walks 15m, then turns right again and walks 10m. How far is he from the starting point?
10m
15m
20m
25m
15m
When movements in opposite vertical directions are equal, the net distance from the starting point is simply the horizontal segment length.
When movements in opposite vertical directions are equal, the net distance from the starting point is simply the horizontal segment length.
Initial North Movement
The person starts at the origin and walks 10 meters North, reaching a vertical displacement of positive 10 meters.
East Movement
After turning right (facing East), the person walks 15 meters, creating a horizontal displacement of 15 meters.
Final South Movement & Net Distance
Turning right again (facing South) and walking 10 meters cancels out the initial North movement. The remaining straight-line distance from the start is the 15 meters walked East.
A: 10m is wrong as it only reflects the vertical offset. C: 20m is an incorrect calculation. D: 25m incorrectly sums all path lengths (10 + 15 + 10) instead of finding the straight-line displacement.
B is correct because the 10m North and 10m South movements cancel each other vertically, leaving a straight-line horizontal distance of 15m from the starting point.
Always check for symmetrical opposite movements (like equal North and South steps) to immediately isolate the remaining displacement component.
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