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Riya starts from her school towards East.She walks 20m and then she turns left and walks 5m to buy chocolate from ashop. Then she walks 25m after taking a left turn from the shop and then againtakes a left turn and walks 5m.In which direction is Riya's initial position with respectto her final position?South North West East

Question

Riya starts from her school towards East.She walks 20m and then she turns left and walks 5m to buy chocolate from ashop. Then she walks 25m after taking a left turn from the shop and then againtakes a left turn and walks 5m.In which direction is Riya's initial position with respectto her final position?South North West East

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Solution

Riya's initial position with respect to her final position is in the West direction. Here's how:

  1. Riya starts from her school and walks 20m towards East.
  2. She then turns left (which would be North if she was facing East) and walks 5m to buy chocolate from a shop.
  3. From the shop, she takes another left turn (which would be West if she was facing North) and walks 25m.
  4. Finally, she takes one more left turn (which would be South if she was facing West) and walks 5m.

At the end of these movements, Riya is 5m South of the shop. But the shop is 5m North of the line on which her school (initial position) is. So, her final position is exactly on the same line where her school is, but 25m to the West of it. Therefore, her initial position with respect to her final position is in the West direction.

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