How can I solve for beta and gamma in a cartesian vector addition problem?

AI Thread Summary
The discussion focuses on the difficulty of solving for beta and gamma in a Cartesian vector addition problem after successfully determining alpha at 139 degrees. The user expresses frustration over the complexity encountered when attempting to calculate the other angles. A suggestion is made to show the reasoning behind the calculations rather than presenting a series of symbols and numbers. This approach may help identify any overlooked aspects of the problem. Clear reasoning is essential for effective problem-solving in vector addition scenarios.
whynot314
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I am having a really tough time trying to solve this particular problem I can find alpha easily 139 degrees which is correct. However when I go to try and solve for beta or gamma I get this huge mess and I am unable to solve for either one, Please help me I know I am overlooking something but I don't know what it is.

[URL=http://s1341.photobucket.com/user/nebula-314/media/20130623_203154_zpsc06ba2e7.jpg.html][PLAIN]http://i1341.photobucket.com/albums/o745/nebula-314/20130623_203154_zpsc06ba2e7.jpg[/URL][/PLAIN]


20130623_204207_zps5704c549.jpg
 
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