kindly give the solution to this matter.God bless?

Question

Find the vector sum of the following four displacements on a map: 60m north; 30m west; 40m at 60degree west of north; 50m at 30 degree west of south. solve graphically and also algebraically.

Answer 1

Northerly components:
60
40 sin 30
50 cos 30
Northerly: 80 + 50 (SQRT 3)/2

Westerly components:
30
-40 cos 30
50 sin 30
Westerly: 30 - 20 (SQRT 3) + 25 = 55 - 20 (sqrt 3)

Answer 2

42