Person P walks 10 meters West, then turns left and walks 5 meters. Person Q walks 5 meters East, then turns right and walks 10 meters. What is the direction of P's final position with respect to Q's final position?
Correct: C
Let the starting point for both be (0,0).
For Person P:
1. Walks 10 meters West: (-10, 0).
2. Turns left (South) and walks 5 meters: (-10, -5). P's final position is (-10, -5).
For Person Q:
1. Walks 5 meters East: (5, 0).
2. Turns right (South) and walks 10 meters: (5, -10). Q's final position is (5, -10).
To find the direction of P with respect to Q, we calculate P_coordinates - Q_coordinates:
(-10 - 5, -5 - (-10)) = (-15, -5 + 10) = (-15, 5).
Since the x-coordinate is negative and the y-coordinate is positive, the direction is North-West.