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  # Applications of Trigonometry and Vectors
  
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  1. Find the indicated part of each triangle ABC.
  C = 118Â°, b = 130km, a = 75km; find c
  The correct answer to this problem is 180 km how did they come up with that answer?
  
  2. Height of a Balloon: The angles of elevation of a balloon from two points A and B on level ground are 24Â°50' and 47Â°20', respectively. As shown in the figure, points A, B, and C are in the same vertical plane and points A and B are 8.4 miles apart. Approximate the height of the balloon above the ground to the nearest tenth of a mile. The correct answer to this problem is 2.7 miles how did they come up with this answer?
  
  https://brainmass.com/math/trigonometry/30010
  
  #### Solution Preview
  
  1.)
  In triangle ABC, because,
  cos(C) = (a^2 + b^2 - c^2)/(2*a*b)
  => cos(118) = (75^2 + 130^2 - c^2)/(2*75*130)
  => -0.469471563 = (22525 - c^2)/19500
  => 22525 - c^2 = ...
  
  #### Solution Summary
  
  Trigonometric application questions are solved. The solution is detailed and well presented. The solution received a rating of "5/5" from the student who originally posted the question.
  
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