Point A is 10m East of B. Point C is 15m South of B. Point D is 10m West of C. Point E is 5m North of D. In which direction is E with respect to A?
Correct: B
Let Point B be the origin (0,0).
1. Point A is 10m East of B: A = (10, 0).
2. Point C is 15m South of B: C = (0, -15).
3. Point D is 10m West of C: D = (0-10, -15) = (-10, -15).
4. Point E is 5m North of D: E = (-10, -15+5) = (-10, -10).
To find the direction of E with respect to A, we calculate E_coordinates - A_coordinates:
(-10 - 10, -10 - 0) = (-20, -10).
Since both the x and y coordinates are negative, E is to the South-West of A.