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?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → South-West
Each turn is taken from the direction she is facing at that moment:
Facing North, a right turn is East: 20 m East
Facing East, a left turn is North: 30 m North
Facing North, a right turn is East: 20 m East
Facing East, a right turn is South: 55 m South
Facing South, a right turn is West: 45 m West

East minus West: \(20+20-45=-5\), so she ends 5 m West of the start. North minus South: \(30-55=-25\), so she ends 25 m South. Being both South and West of the start, she is to its South-West.