Arun walked 10 m East and then turned right and walked 10 m. Then each time turning to his left, he walked 5, 15, and 15 m respectively. How far is he from his starting point?
5 m
5 m is correct.
Take the starting point as the origin, with East along the positive x-axis and North along the positive y-axis.
10 m East: (10, 0). A right turn from East faces South; 10 m: (10, −10).
A left turn from South faces East; 5 m: (15, −10). A left turn from East faces North; 15 m: (15, 5). A left turn from North faces West; 15 m: (0, 5).
The final point (0, 5) is directly 5 m North of the start, so Arun is 5 m from his starting point.
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