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A person walks 10 meters East, turns right and walks 10 meters, turns left and walks 5 meters, then turns left again and walks 10 meters. How far is the person from the starting point?
15 meters
25 meters
20 meters
30 meters
15 meters
Track net movement on X (East-West) and Y (North-South) axes independently; total distance is the horizontal sum and vertical offset.
Track net movement on X (East-West) and Y (North-South) axes independently; total distance is the horizontal sum and vertical offset.
Mapping the path on a coordinate plane
Start at (0,0). Move East 10m: (10, 0). Turn Right (South)тВБтВАm: (10, -10). Turn Left (East)тВЕm: (15, -10). Turn Left (North)тВБтВАm: (15, 0).
Calculate the final distance
The person ends at (15, 0). The starting point is (0,0). The straight-line distance is the difference in X coordinates (15 - 0 = 15 meters) since the Y coordinate returned to 0.
B: 25 meters is incorrect because it ignores the path folding and treats all segments as a straight line. C: 20 meters is incorrect as it does not account for the final 5 meters added in the Eastward direction. D: 30 meters is incorrect because it incorrectly sums all movement magnitudes regardless of directionality.
A is correct because the net horizontal displacement is 10m + 5m = 15m, while the net vertical displacement is 10m South - 10m North = 0m, resulting in a total distance of 15 meters from the start.
When a sequence involves multiple turns, always resolve North/South as Y-axis and East/West as X-axis to avoid confusion with path backtracking.