Village A is 20km North of Village B. Village C is 15km East of Village B. Village D is 10km South of Village C. Village E is 15km West of Village D. In which direction and how far is Village A from Village E?
Correct: A
Let Village B be the origin (0,0).
1. Village A is 20km North of B: A = (0, 20).
2. Village C is 15km East of B: C = (15, 0).
3. Village D is 10km South of C: D = (15, 0-10) = (15, -10).
4. Village E is 15km West of D: E = (15-15, -10) = (0, -10).
Now, we need to find the direction and distance of Village A (0, 20) from Village E (0, -10).
Coordinates of A relative to E: (0-0, 20 - (-10)) = (0, 30).
This means A is 30km North of E.