Meena faces East. She turns 135° in a counterclockwise direction and then 45° in the same direction and 225° in the clockwise direction. Which direction is she facing now?
Meena faces East. She turns 135° in a counterclockwise direction and then 45° in the same direction and 225° in the clockwise direction. Which direction is she facing now?
Solution
Meena starts facing East. Assigning angles to directions (measuring counterclockwise from East):
- East = 0°
- North = 90°
- West = 180°
- South = 270°
- North-East = 45°
- South-East = 315°
Initial position: 0° (East)
After turning 135° counterclockwise:
This corresponds to North-West direction.
After turning another 45° counterclockwise:
This corresponds to West direction.
After turning 225° clockwise (clockwise means negative):
Converting to standard angle:
This corresponds to South-East direction.
Therefore, Meena is facing South-East.
The correct answer is Option 4: South-East.
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