Person A walks 10 meters North, then turns right and walks 5 meters. Person B walks 5 meters West, then turns right and walks 10 meters. What is the direction of Person B's final position with respect to Person A's final position?
Correct: B
Let the starting point for both be (0,0).
For Person A:
1. Walks 10 meters North: (0, 10).
2. Turns right (East) and walks 5 meters: (0+5, 10) = (5, 10). A's final position is (5, 10).
For Person B:
1. Walks 5 meters West: (-5, 0).
2. Turns right (North) and walks 10 meters: (-5, 0+10) = (-5, 10). B's final position is (-5, 10).
To find the direction of B with respect to A, we calculate B_coordinates - A_coordinates:
(-5 - 5, 10 - 10) = (-10, 0).
Since the x-coordinate is negative and y-coordinate is zero, B is 10 meters to the West of A.