Answer:
The distance between them is 105.07 km
Step-by-step explanation:
First we need to find the distance travelled by each ship.
To find this distance, we should use the formula:
distance = speed * time
For ship A, we have:
distance1 = 30 * 3 = 90 km
For ship B, we have:
distance2 = 37 * 3 = 111 km
Now, to find the distance between the ships, we can use the law of cosines, where a, b and c are the respectively the distance travelled by ship A, the distance travelled by ship B and the distance between them:
c^2 = a^2 + b^2 - 2*a*b*cos(62)
c^2 = 90^2 + 111^2 - 2*90*111*0.4695
c^2 = 11040.39
c = 105.07 km
The distance between them is 105.07 km