Point A is 10m East of Point B. Point C is 5m North of Point B. Point D is 10m South of Point C. Point E is 5m West of Point D. In which direction is point E with respect to point A?
Correct: C
Let Point B be the origin (0,0).
1. Point A is 10m East of B: A = (10, 0).
2. Point C is 5m North of B: C = (0, 5).
3. Point D is 10m South of C: D = (0, 5-10) = (0, -5).
4. Point E is 5m West of D: E = (0-5, -5) = (-5, -5).
We need to find the direction of E with respect to A.
Relative coordinates of E from A = (E_x - A_x, E_y - A_y) = (-5 - 10, -5 - 0) = (-15, -5).
Since the x-coordinate is negative (-15), E is to the West of A.
Since the y-coordinate is negative (-5), E is to the South of A.
Therefore, point E is in the South-West direction with respect to point A.