Question

A blind person after walking 10 steps in one direction each of length 80 cm turns randomly to the left or right by 90 degree after walking 40 steps the maximum possible displacement of person from his starting position could be

Answer 1

First he walks 8 metres in one direction. Then he turns right or left perpendicularly and walks 32 metres. This makes a right angled triangle. So by using Pythagoras theorem we can get the displacement √32^2+8^2 =√1088 m