Respuesta :
Answer:
B) 40 km West
Explanation:
Let position of B is origin so with respect of City B the position of A is given as
[tex]r_A = 30 km[/tex] south of city B
now Bus starts from City A and travels a distance of 50 km at 37 degree North of East to reach city C
so it is
[tex]r_{CA} = 50(cos37\hat i + sin37 \hat j)[/tex]
[tex]r_{CA} = 40\hat i + 30\hat j[/tex]
now the position of C is given with respect to A
in order to find the position of C with respect to B we can say
[tex]r_C = r_{CA} + r_A[/tex]
[tex]r_C = 40\hat i + 30\hat j + (-30 \hat j)[/tex]
[tex]r_C = 40 \hat i[/tex]
so in order to reach at city B from city C bus has to travel 40 km towards West
The direction must the bus go from city C to reach city B is 20 km, west because the City B is present at a distance of 30 km from city A.
What is distance and direction?
Distance is the total length which is covered by an object while on the other hand, direction is the point to or from which a person or an object moves so we can conclude that the bus must go to the west from city C to reach city B with a distance of 20 km.
Learn more about direction here: https://brainly.com/question/25605883
