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 21.0 degrees west of north from Atlanta. Modeling the Earth as flat, use this information to find the displacement from Dallas to Chicago. Equations: Ax = Acos(angle) Ay = Asin(angle) (same for vector B) [resultant vector] = ((Ax + Bx)^2 + (Ay + By)^2) So far, I graphed each pathway on the same picture, so that the resultant vector would complete a triangle. From Dallas to Atlanta (vector A), the h.c. = 730cos85, and the v.c. = 730sin85. For Atlanta to Chicago (vector B), I couldn't figure out which angle to use. 69 degrees or 111? I'm thinking 111 degrees, because if I draw the three cities, so that two tails of vectors stem from Atlanta and form a V-shape (as if the positive y-axis is equivalent to north, the postive x-axis is equivalent to east on a compass, and negative x-axis to west), the angle would be 111 degrees. If this is true, I was planning on getting the h.c. and v.c of B, and adding up the h.c.'s of A and B, and the v.c.'s of A and B, to the the total h.c. and v.c of R. Once that is given, I can use Pythagorean Theorum to get the magnitude of R, which is the total displacement between Dallas and Chicago.