If a person facing to north, he rotates 900 clockwise directions, then he rotates 450 Anti clockwise direction, then 450 clockwise direction, then 900 anti clock wise direction, then 1350 clock wise directions and finally he rotates 900 anti clock wise direction then in which direction he is facing now?
Question
If a person facing to north, he rotates 900 clockwise directions, then he rotates 450 Anti clockwise direction, then 450 clockwise direction, then 900 anti clock wise direction, then 1350 clock wise directions and finally he rotates 900 anti clock wise direction then in which direction he is facing now?
Solution
To determine the final direction the person is facing, let's break down the rotations step by step:
- The person starts facing north.
- Rotating 900 degrees clockwise would bring the person to the west direction.
- Rotating 450 degrees anti-clockwise from the west direction would bring the person to the south-west direction.
- Rotating 450 degrees clockwise from the south-west direction would bring the person back to the west direction.
- Rotating 900 degrees anti-clockwise from the west direction would bring the person to the south direction.
- Rotating 1350 degrees clockwise from the south direction would bring the person to the east direction.
- Finally, rotating 900 degrees anti-clockwise from the east direction would bring the person back to the north direction.
Therefore, after all the rotations, the person is facing north again.
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