Question

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

Answer 1

He took 10 steps of 80cm that is = 10×80 cm

=800cm = 8m

after turning right or left he took 40 steps. that is= 40×80cm=3200cm=32m

His displacement=✓8²+32²=✓64+1024=✓1088

=32.9848...m, or 32m approx.

therefore, correct option is option 2. that is 32m