Explanation:

- Anita cycles 6 km south from her house, then turns left (east) and cycles 8 km.

- She turns left again (now heading north) and cycles X km to her school.

- The total vertical movement: 6 km south, then X km north. So, net north-south displacement = X - 6 km.

- The school must be directly north of the last position, and also 3 km north of her house (from Point A's info). So, solving: X - 6 = 0 + 3 (since Point A is 3 km north of the house).

- This gives X = 6 + 3 = 9 km.

- Thus, the value of X is 9 km.

- Option 1: 9 km is correct.