Solving Vector Triangles (Law of Sines and Cosines possibly)

Jun 2011
16
0
Hey all, I really don't know where to begin this problem.
Three vectors,
Vector AO is 400 in magnitude and direction going in -x from point A to O. (or can rearrange I believe to make another triangle piece)
Vector AB is unknown going from point A to B.
Vector AC is 525 in magnitude going from point A to C.

Point A can be called the origin. Vector AO can be placed going horizontally from this.
Point B is to the right and down of point A. Vector AB has an unknown angle of theta between AO.
Point C is to the right and down of point A. Vector AC has an angle of 45 + theta between AO. (Angle of 45 between AC and AB)

A different description: Vector AO goes from the right to origin horizontally to A. From A it goes back to the right and down by an angle of theta and unknown magnitude. Starting from A once more, AC also goes down and to the right, but of and angle theta + 45.
No components of CB, BO, or CO are given.

I'm trying to determine AB and theta, with no luck. All help much appreciated!
 

skeeter

MHF Helper
Jun 2008
16,217
6,765
North Texas
I advise you make a sketch using microsoft paint or some other drawing program and attach it as a follow-on post ... your verbal description leaves much to be desired.