Points are located as follows: D is 20 m south of A. C is 5 m east of D. E is 10 m north of C. F is 10 m east of E. G is 15 m south of F. X is 15 m west of G. B is 10 m east of A. Z is 10 m south of B. L is 10 m east of C.

**Question:** In which direction is point A with respect to point G?

Question

Points are located as follows: D is 20 m south of A. C is 5 m east of D. E is 10 m north of C. F is 10 m east of E. G is 15 m south of F. X is 15 m west of G. B is 10 m east of A. Z is 10 m south of B. L is 10 m east of C.

**Question:** In which direction is point A with respect to point G?

Accepted Answer

**Solution:**

1. Let's place point A at an arbitrary origin for reference.

2. Point D is 20 m south of A, so D is at (0, -20).

3. Point C is 5 m east of D, so C is at (5, -20).

4. Point E is 10 m north of C, so E is at (5, -10).

5. Point F is 10 m east of E, so F is at (15, -10).

6. Point G is 15 m south of F, so G is at (15, -25).

7. We need to find the direction of A (0, 0) with respect to G (15, -25).

8. Calculate the relative position vector from G to A:
   - Change in x = 0 - 15 = -15 (west)
   - Change in y = 0 - (-25) = 25 (north)

9. Since from G to A, the movement is 15 m west and 25 m north, the direction is **north-west**.

**Answer:** North-west

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