Answer:
a.3.86 Km
b.Direction=233.3 degree
Step-by-step explanation:
We are given that
Person wale in North direction,DE=2.3 Km
Person walk in West direction==BD=2.5 Km
Person walk in South direction,EC=5.4 Km
a.We have to find the distance between initial and final position.
Vector AB=-2.5 Km
BD=-EA=-2.3 Km
CA=y=-(EC-EA)=-(5.4-2.3))=-3.1 m
AB=-DE=x=-2.5 Km
Magnitude of resultant vector=

Magnitude of resultant vector=3.86 Km
Hence, the distance between initial and final position=3.86 Km
b.Direction=

Direction=
S of W
x-coordinate and y-coordinate are negative therefore, the angle lies in third quadrant.
When we measured from East then

Therefore, the direction=233.3 degree