Solving 2D Motion Problem: A to B Flight Distance

[Aubiefan]

I'm having a bit of trouble with this problem, I thought I knew how to solve it but can't get what is listed as the correct answer in the key.

An airplane starting from airport A flies 300 km east, then 410 km at 25.5° west of north, and then 150 km north to arrive finally at airport B.
The next day, a pilot flies directly from A to B in a straight line, what is the distance of this flight?

I was able to find the correct angle, 77.89 degrees north of east, and I tried to use the Pythagorean theorem with the X and Y components to find the length of the resultant, but the website (it's a webassign.net problem for a class) keeps telling me I have the wrong answer. Any insights on what I'm doing wrong? The two answers I keep coming up with are 371.17 km and 333.94 km.

thanks for your time!

 

[lightgrav]

You have the wrong E and N components ...
the N component by itself is over 500 km (150 + almost 400).
Show your work!

 

[civil_dude]

You can do this graphically. Make a drawing to scale, use a protractor also. Then you can tell where your errors lie.

 

[Aubiefan]

Thanks for your advice, I reworked it and found the correct components. I had gotten a little thrown by the "west of north" angle and made a mess of some negative signs when doing the trig.
Thanks again!