Posted by Lydia on .
Using the information about John, Jason, and Julie, can you uniquely determine how they stand with respect to each other? On what basis?
Statement 1: John and Jason are standing 12 feet apart.
Statement 2: Julie is standing 31º NW of Jason.
Statement 3: John is standing 49º SW of Julie.

geometry 
drwls,
Statements 2 and 3 don't make sense to me. A NW direction is not 31 degrees and a SW direction is not 49 degrees.

geometry 
Lydia,
That is the question. I don't get it either.

geometry 
drwls,
If NW does not mean exactly 45 degrees W of N, and SW does not mean exactly 45 degrees W of S, then the 31 degree and 49 degree angles imply that the angle at Julie's corner is 80 degrees. All you have is one side and one angle. That does not determine the complete triangle.

geometry 
lily,
i think that the 31 and 49 are the angle measures and the NW and SW are just what direction its pointed toward :)