leila walks south for 20m and then west for 20m,determine resultant displacement

X = -20 m.

Y b= -20 m.

D^2 = X^2 + Y^2.
D^2 = 20^2 + 20^2 = 800
D = 28.28 m. = Displacement.

tanAr = Y/X = -20/-20 = 1.
Ar = 45o = Reference angle.
A = 180+45 = 225o.