A man went 10 kms towards South, then turned East and covered 10 kms and turned to the right. Again after 10 kms

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?

  1. 2√2 km, North-East
  2. 20√2 kms, South-East
  3. 20 km, South-East
  4. 20√2 m, South-East

Sol:

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

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