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Shekhar walks 10 metres towards South. Turning to the left, he walks 20 metres and then moves to his right. After moving a distance of 20 metres he turns to the right and walks 20 metres. Finally, he turns to the right and moves a distance of 10 metres. how far and in which direction he from the starting point?

Question

Shekhar walks 10 metres towards South. Turning to the left, he walks 20 metres and then moves to his right. After moving a distance of 20 metres he turns to the right and walks 20 metres. Finally, he turns to the right and moves a distance of 10 metres. how far and in which direction he from the starting point?

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Solution 1

Shekhar is 20 meters to the East of his starting point. Here's how:

  1. Shekhar starts by walking 10 meters South.
  2. He then turns left (which would be East if we consider the standard directional system) and walks 20 meters.
  3. He then turns right (which would be South) and walks 20 meters.
  4. He then turns right again (which would be West) and walks 20 meters.
  5. Finally, he turns right once more (which would be North) and walks 10 meters.

At the end of these movements, Shekhar has moved 10 meters South, then 20 meters East, then 20 meters South, then 20 meters West, and finally 10 meters North.

If we offset the South and North movements, we find that he has effectively moved 10 meters South (20 South - 10 North). Similarly, offsetting the East and West movements, we find that he has effectively moved 0 meters East or West (20 East - 20 West).

So, Shekhar is 10 meters South and 20 meters East from his starting point. In terms of a single direction, East is the closest cardinal direction to his final position from the starting point.

This problem has been solved

Solution 2

Shekhar is 20 meters east of his starting point. Here's how:

  1. Shekhar starts by walking 10 meters south.
  2. He then turns left, which would be towards east, and walks 20 meters.
  3. He then turns right, which would be towards south, and walks 20 meters.
  4. He then turns right again, which would be towards west, and walks 20 meters.
  5. Finally, he turns right once more, which would be towards north, and walks 10 meters.

At the end of these movements, Shekhar is 10 meters south and 20 meters east from his starting point. However, since the question asks for a single direction, we can't say he's both south and east from the start. Instead, we look at which direction he's moved the most. In this case, it's east. So, Shekhar is 20 meters east from his starting point.

This problem has been solved

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