Answer to Question #244371 in Physics for nene

Question

what is the resultant displacement if a man jogs 120m, east, and then walks 50m due south?

Answer 1

The resultant displacement is

$$d=\sqrt{120^2+50^2}=130\text{ m},\\\space\\ \theta=\arctan\frac{120}{50}=67.3°\text{ East of South}.$$