Question

A man moves towards 3 m north then 4 m towards east and finally 5 m towards 37° south of west. His displacement from origin is

Answer 1

From C the man walks along CD which makes 37 deg with west. So the horizontal displacement of man from C is                   CD cos 37 = 3.993 meters The vertical displacement of man from C is :            CD sin 37 = 3.009 m
So the displacement of man from the origin (he started from )  horizontal     = 4 - 3.993  = 0.007 m   vertical = 3 - 3.009 = -0.009 metreMagnitude of displacement = 0.007² + (-0.009) ² = 0.00114 meters from origin.
Actually the man is almost at the origin.