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Ranjan walks 20 m towards the north.Then he turned right and walked 30m. Then he turns right and walks 35 m. Then he turns left and walks 15m. Finally, he turns left and walks 15m.In which direction and how many meters is he from the starting point?

Question

Ranjan walks 20 m towards the north.Then he turned right and walked 30m. Then he turns right and walks 35 m. Then he turns left and walks 15m. Finally, he turns left and walks 15m.In which direction and how many meters is he from the starting point?

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Solution

First, let's visualize Ranjan's path:

  1. He starts by walking 20m North.
  2. Then he turns right (which would be East if we consider the standard directional system) and walks 30m.
  3. He turns right again (now facing South) and walks 35m. At this point, he is 15m South from his original latitude because he walked 35m South after having walked 20m North.
  4. He turns left (now facing East) and walks 15m.
  5. Finally, he turns left again (now facing North) and walks 15m. This brings him back to his original latitude because he walked 15m North after being 15m South of his starting point.

In terms of longitude, he is 45m East of his starting point because he walked 30m East, then another 15m East.

So, Ranjan is 45m East from his starting point.

This problem has been solved

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