Amit is facing north. He turns 90° right and walks for 50 m, then turns towards the south and walks 50 m, then turns right to walk for another 50 m and from there, he walks 50 m towards north. In which direction/position is he from his original position?
- ASouth-west
- BAt the original position
- CNorth-east
- DNorth-west
Solution & Step-by-step Explanation
Let's trace Amit's movements step-by-step from the starting point (0,0):
Initial Facing: North.
Turn 90° right and walk 50 m: He moves East by 50 m. New position: (50,0).
Turn towards South and walk 50 m: He moves down by 50 m. New position: (50,−50).
Turn right and walk 50 m: Facing South, a right turn points West. Walking 50 m West brings him to position: (0,−50).
Walk 50 m towards North: Moving up by 50 m brings him back to (0,0).
He is exactly at the original position.
Initial Facing: North.
Turn 90° right and walk 50 m: He moves East by 50 m. New position: (50,0).
Turn towards South and walk 50 m: He moves down by 50 m. New position: (50,−50).
Turn right and walk 50 m: Facing South, a right turn points West. Walking 50 m West brings him to position: (0,−50).
Walk 50 m towards North: Moving up by 50 m brings him back to (0,0).
He is exactly at the original position.