How do you determine true displacement value of an object that has moved?

Diceplacement is the distance an object has traveled in a certain direction

for example, if you were to walk North for 20m, then east for 40m, the distance you have traveled is 60m however your displacement is the distance between your starting position and your end position;

sqrt (20^2+40^2) = 44.7m

and because displacement is a vector, there needs to be a direction;

sin (theta) = 40/44.7

theta=63.4 degrees East of North

therefore the true displacement is 44.7m at 63.4 degrees East of North