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

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SUMMARY

The discussion focuses on solving for beta and gamma in a Cartesian vector addition problem, where the user successfully determined alpha at 139 degrees. The user expresses difficulty in calculating beta and gamma, indicating a lack of clarity in their approach. The need for a structured reasoning process is emphasized, suggesting that simply presenting numbers and symbols is insufficient for problem-solving in vector addition.

PREREQUISITES
  • Understanding of Cartesian coordinates and vector addition
  • Familiarity with trigonometric functions and their applications in vector calculations
  • Knowledge of angle measurement in degrees
  • Ability to interpret and analyze mathematical reasoning
NEXT STEPS
  • Study vector addition principles in physics or mathematics
  • Learn how to apply trigonometric identities to solve for unknown angles
  • Practice problems involving Cartesian coordinates and vector components
  • Explore resources on visualizing vectors and their resultant angles
USEFUL FOR

Students in physics or mathematics, educators teaching vector concepts, and anyone looking to enhance their problem-solving skills 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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You need to show your reasoning, not just a sheet full of symbols and numbers.
 

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