## Vectors and resultant vectors?

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

An airplane starting from airport A flies 300 km east, then 350 km at 30.0" west of north, and then 150 km north to arrive finally at airport B. The next day, another plane flies directly from A to B in a straight line. In what direction should the pilot travel in this direct flight?

I actually solved it... I drew the vectors and got the resultant displacement.
so its 300i
150j
and then we use rsinθ and rcosθ to get the x and y components of west of north. At first I used rcosθ to get x and rsinθ to get y but that turned out to be wrong (it was actually rsinθ that equaled to x and rcosθ equal to y)
That is what I dont get!
How come the rule here is reversed?
Thanks

3. The attempt at a solution
 PhysOrg.com science news on PhysOrg.com >> Ants and carnivorous plants conspire for mutualistic feeding>> Forecast for Titan: Wild weather could be ahead>> Researchers stitch defects into the world's thinnest semiconductor

Recognitions:
Homework Help
 Quote by madinsane 1. The problem statement, all variables and given/known data An airplane starting from airport A flies 300 km east, then 350 km at 30.0" west of north, and then 150 km north to arrive finally at airport B. The next day, another plane flies directly from A to B in a straight line. In what direction should the pilot travel in this direct flight? I actually solved it... I drew the vectors and got the resultant displacement. so its 300i 150j and then we use rsinθ and rcosθ to get the x and y components of west of north. At first I used rcosθ to get x and rsinθ to get y but that turned out to be wrong (it was actually rsinθ that equaled to x and rcosθ equal to y) That is what I dont get! How come the rule here is reversed? Thanks 3. The attempt at a solution
Perhaps you just mechanically use rsinθ that equaled to x and rcosθ equal to y when you are comparing to the positive x axis - (or the only polar axis)

 Tags resultant vector, vectors