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A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?

Question

A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?

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Solution

The man starts by walking 5 km south. Then he turns right, which would be west if we consider the standard orientation, and walks 3 km. After that, he turns left from his current direction (west), which would now be south, and walks another 5 km.

Now, to determine his final position relative to the starting point:

  1. In the north-south direction: He initially walked 5 km south, then another 5 km south after the last turn. So he is 10 km south of the starting point.

  2. In the east-west direction: He walked 3 km west. So he is 3 km west of the starting point.

Therefore, relative to his starting point, he is in the southwest direction.

This problem has been solved

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