Explanation:

- Diogo's starting point is facing west. He walks 22 m straight, which means he moves westward.

- He turns left, changes his direction to south, and walks 20 m.

- He takes another left. Now, his direction is east and he walks 25 m.

- A final left turn changes his direction to north as he walks 24 m to reach his school.

- From this, we know his movements are in a square or rectangular pattern.

- He ends up 3 m north (24 m north - 20 m south) from the west line he initially walked.

- He is also 3 m east (25 m east - 22 m west) from the southern line he walked after.

- Using the Pythagorean theorem, the straight-line distance from his house to his school is 5 m (squared root of (3^2 + 3^2)) in a north-east direction.

The correct option is: 1, 5 m due north-east