Posted by lisa on Thursday, July 14, 2011 at 11:16pm.
JOhn and Jason are standing 12 feet apart. Julie is standing 31 degrees NW of Jason. John is standing 49 degrees SW of Julie. can you uniquely determine how they stand with respect to each other? on what basis?

Geometry...not getting this  Reiny, Thursday, July 14, 2011 at 11:53pm
I don't think you have enough information.
I started by placing Jason
Draw a vertical from Jason than Julie is 31° W of that.
Place Julie anywhere an that line
Draw a vertical at Julie
Draw a line 49° W of that vertical to place John who is anywhere on that line
Join the line between Jason and John, label it 12 feet
Now the line between the verticals of Jason and Julie is a transversal between parallel lines, so the angle formed at Julie is 31+49 or 80°
So in the triangle you only have one angle and one side, which is not enough to determine the triangle 
Geometry...not getting this  lisa, Friday, July 15, 2011 at 12:21am
so do you think the answer is no, that in the triangle there is only one angle and one side which is not enough to determine the triangle?