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Question about Mathematics - Trigonometry

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Please help with the following problem. Provide a step by step solution along with diagrams.

Draw the oblique triangle, classify each oblique triangle according to the four cases and solve for the required side or angle:

1. if b = 12, c = 15 and C = 67°, find a.

2. if a = 12, b = 7 and c = 5, find A.

3. if a = 25, b = 50 and C = 72° 25', find c.

4. if b = 65, c = 90 and A = 64° 45'. find a.

5. if B = 55.4°, C = 92.7° and b = 2.5, find a.

8. if b = 64, a = 97 and c = 59, find C.

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https://brainmass.com/math/trigonometry/question-about-mathematics-trigonometry-226671

Solution Preview

The solution is below - please also see the attached file for diagrams that go along with the solution.

Problem:
Draw the oblique triangle, classify each oblique triangle according to the four cases and solve for the required side or angle:

1. if b = 12, c = 15 and C = 67°, find a.

2. if a = 12, b = 7 and c = 5, find A.

3. if a = 25, b = 50 and C = 72° 25', ...

Solution Summary

This posting helps with mathematics problems about trigonometry. A Complete, Neat and Step-by-step Solution for each problem is provided in the attached file.

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