A map suggests that atlanta is 730 miles in a direction 5 degrees north of east

Question

A map suggests that atlanta is 730 miles in a direction 5 degrees north of east of dallas. The same map shoes that chicago is 560 miles in a direction 21 degrees west of north from atlanta. Figure P3.18 shows the location of these three cities. Modeling the earth as flat, use this information to find the displacement from falla to chicago?

I know you need to add up the x's and ys however why is it 730 cos 5 degrees-560 sin 21 degrees instead of 730cos 5 degrees+ 560 cos 21 degrees?

Same question for y?
730sin5 degrees+ 560cos21 degrees instead of 730 sin5+ 560sin21?

http://www.webassign.net/sercp9/3-p-018.gif

Thanks!

Explanation / Answer

where is Figure P3.18 ???

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