What is "chat GPT"? What is "Gauth"?

Step 1: The displacement forms a right triangle with legs equal to the south distance and east distance.

The magnitude of displacement is given by the Pythagorean theorem:

$d = \sqrt{(distance_{south})^2 + (distance_{east})^2}$

Step 2: Substitute the given distances (assuming 5 km south and 12 km east from the image).

$d = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13$

Step 3: Include units.

The straight-line displacement is 13 km.

$\boxed{13 km}$