Rahul moves 5 km towards south and then takes a left turn to move 5 km more. Again, he takes a left turn and moves 10 km and finally, he moves 5 km towards west. In which direction is he now from his initial position?
- AWest
- BEast
- CSouth
- DNorth
Solution & Step-by-step Explanation
Let's track Rahul's movements step by step from his initial position (0,0):
Moves 5 km South: He reaches (0,−5).
Takes a left turn and moves 5 km: Facing South, a left turn points towards East. Moving 5 km brings him to (5,−5).
Takes a left turn and moves 10 km: Facing East, a left turn points towards North. Moving 10 km North changes his coordinates to (5,−5+10)=(5,5).
Moves 5 km West: Moving 5 km West decreases the x-coordinate by 5, bringing him to (5−5,5)=(0,5).
Comparing his final position (0,5) with his initial position (0,0), he is exactly along the positive y-axis, which represents the North direction.
Moves 5 km South: He reaches (0,−5).
Takes a left turn and moves 5 km: Facing South, a left turn points towards East. Moving 5 km brings him to (5,−5).
Takes a left turn and moves 10 km: Facing East, a left turn points towards North. Moving 10 km North changes his coordinates to (5,−5+10)=(5,5).
Moves 5 km West: Moving 5 km West decreases the x-coordinate by 5, bringing him to (5−5,5)=(0,5).
Comparing his final position (0,5) with his initial position (0,0), he is exactly along the positive y-axis, which represents the North direction.