A passenger in a Bus moving towards east, observes a man moving towards north. What is the actual direction of man w.r.t ground.

A passenger in a Bus moving towards east, observes a man moving toward

1.	A passenger in a Bus moving towards east, observes a man moving towards north. What is the actual direction of man w.r.t ground.
Answer» Solution :Velocity of bus w.r.t ground `=OVERSET(VEC)V_(BG)` (east) Velocity of man w.r.t bus `=overset(vec)u_(MB)` (NORTH) Velocity of man w.r.t ground `=overset(vec)V_(Mg)=?"":.` `overset(vec)V_(MB)=overset(vec)V_(Mg)-overset(vec)V_(Bg)""RARR overset(vec)C_(Mg)=overset(vec)V_(MB)+overset(vec)V_(Bg)` i.e. man is going toward North-East direction and at an angle of `theta=tan^(-1)((\|overset(vec)V_(MG)\|)/(\|overset(vec)V_(Bg)\|))` w.r.t. east.