Vector Components and Displacement of Lost Dog

[nadong2dong]

Homework Statement

A lost dog travels 30 degrees south of west for 450m. He ten smells some food and sprints at 20 degrees east of north for 600m.
a) draw each vector. Label magnitude and theta.
b) calculate the vector components
c) calculate the magnitude of the dog's displacement.

Homework Equations

my guess is that there are two part of the components
sin30= y/450
cos30= x/450
sin70= y/600
cos70=x/600

The Attempt at a Solution

225
389.7
563.8
205.21

and i have no idea what to do with the magnitude of dog's displacement

 

[nadong2dong]

I desperately need some help please

 

[daveb]

It might help if you were to draw the vectors. Then you would see that some of those numbers need to be negative, and the result would give you the x and y components of the resultant vector.