Rekha faces towards North, then turns to her right and walks 20 meters. She then turns to her left and walks 30 meters. Next she moves 20 meters to her right. She turns to her right again and walks 55 meters. Finally she turns to the right and moves 45 meters. In which direction is she now from her starting point?
Rekha faces towards North, then turns to her right and walks 20 meters. She then turns to her left and walks 30 meters. Next she moves 20 meters to her right. She turns to her right again and walks 55 meters. Finally she turns to the right and moves 45 meters. In which direction is she now from her starting point?
Solution
Starting position: Facing North
Turn right → Now facing East
Walk 20 meters → Position: 20 m East
Currently facing East
Turn left → Now facing North
Walk 30 meters → Position: 20 m East, 30 m North
Currently facing North
Move 20 meters to the right (East direction) → Position: 40 m East, 30 m North
Currently facing North
Turn right → Now facing East
Turn right again → Now facing South
Walk 55 meters → Position: 40 m East, 30 - 55 = -25 m (i.e., 25 m South)
Currently facing South
Turn right → Now facing West
Move 45 meters → Position: 40 - 45 = -5 m (i.e., 5 m West), 25 m South
Final position relative to starting point:
- Horizontal displacement: 5 meters West
- Vertical displacement: 25 meters South
Since she is both West and South of her starting point, she is in the South-West direction.
Therefore, the answer is Option 4: South-West.
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