Question

A man went $10$ kms towards South, then turned East and covered $10$ kms and turned to the right. Again after $10$ kms he turned to left and covered $10$ kms to reach the destination. How far and in which direction is he to his starting point?

• A. $20\sqrt{2}$ kms, South-East
• B. $2\sqrt{2}$ km, North-East
• C. $20\sqrt{2}$ m, South-East
• D. $20$ km, South-East

Answer 1

Answer: (A)

$20\sqrt{2}$ kms, South-East

The perpendicular distance and distance from the base between the starting point and the end point is $20$ km each.

It forms a right triangle.

Thus by Pythagoras theorem, the required distance is

$\sqrt{{20}^2+{20}^2}=20\sqrt{2}$