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Select the correct answerInside the theatre, I am sitting facing East, then I stand up turn left and go 7.5 m, then I turn right and go 12.5 m and then I go 8.5 m towards the South and from there 9.1 m towards the West. In which direction am I with respect to my seat?radio_button_uncheckedEastradio_button_uncheckedWestradio_button_uncheckedNorth-Eastradio_button_uncheckedSouth-Eastradio_button_uncheckedNone

Question

Select the correct answerInside the theatre, I am sitting facing East, then I stand up turn left and go 7.5 m, then I turn right and go 12.5 m and then I go 8.5 m towards the South and from there 9.1 m towards the West. In which direction am I with respect to my seat?radio_button_uncheckedEastradio_button_uncheckedWestradio_button_uncheckedNorth-Eastradio_button_uncheckedSouth-Eastradio_button_uncheckedNone

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Solution

Let's break down the movements step by step:

  1. You are initially facing East.
  2. You turn left. If you were facing East, a left turn would now have you facing North.
  3. You walk 7.5 m, but the direction doesn't change, so you're still facing North.
  4. You turn right. If you were facing North, a right turn would now have you facing East.
  5. You walk 12.5 m, but the direction doesn't change, so you're still facing East.
  6. You go 8.5 m towards the South. Now, you're facing South.
  7. From there, you go 9.1 m towards the West. Now, you're facing West.

So, with respect to your seat, you are in the West direction.

This problem has been solved

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