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I am facing East. Turning to the right I go 20 m, then turning to the left I go 20 m and turning to the right I go 20 m, then again turning to the right I go 40 m and then again I go 40 m to the right. In which direction am I from my original position?

Question

I am facing East. Turning to the right I go 20 m, then turning to the left I go 20 m and turning to the right I go 20 m, then again turning to the right I go 40 m and then again I go 40 m to the right. In which direction am I from my original position?

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Solution

Let's break down your movements:

  1. You start facing East.
  2. You turn right (which would now be facing South) and go 20 m.
  3. You turn left (which would now be facing East again) and go 20 m.
  4. You turn right (which would now be facing South again) and go 20 m.
  5. You turn right (which would now be facing West) and go 40 m.
  6. You turn right again (which would now be facing North) and go 40 m.

So, you are now 20 m North from your original position.

This problem has been solved

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