What did I do wrong? Two-Dimension Vectors

[Shelilla]

1. Homework Statement
So the problem is:
A woman walks 440 m at 50° S of W and then 580 m at 60° N of E. The entire trip required 15 minutes.
A. What was the total distance (I already got the answer to this)
B. What was the displacement of the woman?

Homework Equations

I'm almost positive I did everything right. The only two things I could think of is that I mislabeled or miscalculated the equation/triangle, or it's possible that the answer in my booklet is wrong (this has happened before since my physics teacher used online resources which don't always have the right answers.) however I want to make sure it's not just me.

I have a quiz today based on this and the previous lesson so I need a reply quick.

The Attempt at a Solution

The answer in my booklet says: 165.4 m at 2.5° E of N. Is this right?
[/B]
Here is what I had written:
http://orig05.deviantart.net/276d/f/2016/287/9/d/untitled_by_shelilla-dakysaj.jpg
I separated the two angles into different triangles just like we did in lessons. However since it's such a big series of equations, unless I'm a physics expert I can't tell just by looking if I did something wrong, and if I try to revise it there is so many things that can change the answer so it's too confusing to try.

 

[gneill]

You've used the Ay component in your calculation of x and Ax in your calculation of y. X directions should be east or west, and Y directions north or south.

 

[BvU]

Booklet is right...
What does 60 degrees north of East mean ?

[edit] Gn is right; I was wrong-footed by your drawing; the numbers are OK.

 

[Shelilla]

You've used the Ay component in your calculation of x and Ax in your calculation of y. X directions should be east or west, and Y directions north or south.

Crap, you're right. I probably shouldn't have started this assignment at 9, I made a few mistakes in other questions (such as sin-1(# + #) instead of sin-1(#/#) ) lol, thanks for pointing that out!

 

[gneill]

Glad to help. Good luck with your studies!