Vikram starts from a point and walks 18 metres towards the West. He then turns left and walks 14 metres. After that, he turns right and walks 11 metres. He again turns right and walks 7 metres. Then he turns left and walks 16 metres. Finally, he turns right and walks 9 metres. In which direction is he facing at the end?
Explanation
To determine the final direction, we track Vikram's orientation at every turn. Let the initial direction be Dstart=West.
Step-by-Step Directional Tracking:
Initial: Facing West.
Turn 1 (Left): From West, a left turn leads to South.
Direction1=South
Turn 2 (Right): From South, a right turn leads to West.
Direction2=West
Turn 3 (Right): From West, a right turn leads to North.
Direction3=North
Turn 4 (Left): From North, a left turn leads to West.
Direction4=West
Turn 5 (Final Right): From West, a final right turn leads to North.
Direction5=North
Conclusion:
By tracking the sequence of turns, we determine that Vikram is facing North at the end of his journey.
Correct Answer:
Option 1 (North) is the correct answer.