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# Applications of Trigonometry and Vectors

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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
The text contains two distinct mathematical questions, both of which are trigonometry problems. Each question is followed by a statement of the correct answer and a request for an explanation of how the answer was derived.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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
user
The text contains two distinct mathematical questions, both of which are trigonometry problems. Each question is followed by a statement of the correct answer and a request for an explanation of how the answer was derived.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS