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Algebra/Laws of Sines and Cosines

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Question
12.   Given oblique triangle ABC, find the length of c: a = 2.60 angle B = 60° angle C = 100°

13.   Given oblique triangle ABC, find the length of a: b = 130 angle B = 95° angle C = 35°

14.   Given oblique triangle ABC, find the measure of angle C: a = 18 b = 12 angle A = 110°

20.   In triangle ABC, a = 5, b = 9, and c = 6. Find angle A, angle B, and angle C.

25.   Evaluate: 4x-2 = 1/8  

Answer
12. 2.60/sin(20) = c/sin(100) so c = 7.49
13. 130/sin(95) = a/sin(50) so a = 100
14. 18/sin(110) = 12/sin(B) so B = 38.9 and then C = 31.1 degrees
20. A = 31.6 degrees, B = 109.5 degrees, C = 38.9 degrees
25. If you mean 4x^-2 = 1/8 then x = 4(2^1/2)

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