 #1
ericcy
 19
 1
 Homework Statement:

An airplane flies with a heading of [N58W] from Sydney, NS to Newcastle, NB, a distance of 618km. The airplane then flies 361km on a heading of [E35S] to New Glasgow, NS.
a) Determine the displacement of the airplane for the trip
b) In what direction will the plane have to fly in order to return directly to Sydney?
books answer was 4.0x10^2km [E28N] and W28S, couldn't figure out how to get these answers, not sure if they're wrong or if I'm missing something.
 Relevant Equations:
 a^2+b^2=c^2, sinTHETA=opp/hyp, cosTHETA=adj/hyp
Broke it into its components finding d1x, d1y, d2x, etc... Using those components I found drx to be 228.38km and dry to be 120.429km. Did Pythagoras to get 258km as the resultant displacement, heading N62W. I'm honestly lost. I'm doing the question the correct way, I just don't know what I'm missing. I'm supposed to solve by breaking it into components.