text: Explore BrainMass
  
  # Applications of Trigonometry and Vectors
  
  Not what you're looking for? Search our solutions OR ask your own Custom question.
  
  This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!
  
  Please see the attached file for the fully formatted problems.
  
  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.
  
  \$2.49
explanation: The document contains two trigonometry problems. The first problem asks to find the length of side c in a triangle given two sides and the included angle. The second problem involves finding the height of a balloon given the angles of elevation from two points on the ground and the distance between those points. Both problems include the correct answers and ask how those answers were derived.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: Explore BrainMass
  
  # Applications of Trigonometry and Vectors
  
  Not what you're looking for? Search our solutions OR ask your own Custom question.
  
  This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!
  
  Please see the attached file for the fully formatted problems.
  
  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.
  
  \$2.49
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains two trigonometry problems. The first problem asks to find the length of side c in a triangle given two sides and the included angle. The second problem involves finding the height of a balloon given the angles of elevation from two points on the ground and the distance between those points. Both problems include the correct answers and ask how those answers were derived.
  
  Label: multiple-question-and-answer