vectors word problem

[BeckyStar678]

1. The problem statement, all variables and given/known data

a map suggests that atlanta is 730 miles in a direction of 5.00 degrees north of east from dallas. the same map shows that chicago is 560 miles in a direction of 21 degrees west of north from atlanta. modeling the earth as flat, use this info to find the displacement from dallas to chicago.



2. Relevant equations



3. The attempt at a solution

is this just using the pythagorean theorem. is it 7302 + 5602

[LowlyPion]

1. The problem statement, all variables and given/known data

a map suggests that atlanta is 730 miles in a direction of 5.00 degrees north of east from dallas. the same map shows that chicago is 560 miles in a direction of 21 degrees west of north from atlanta. modeling the earth as flat, use this info to find the displacement from dallas to chicago.



2. Relevant equations



3. The attempt at a solution

is this just using the pythagorean theorem. is it 7302 + 5602

Only if they are in direction at are right angle to each other.

Maybe you want the Law of Cosines?