Trigonometry –Oblique Triangles Review Questions

Trigonometry –Oblique Triangles Review Questions -...

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Trigonometry –Oblique Triangles Review Questions Problem : Solve Triangle ABC given that: A = 45 o , B = 25 o , and a = 11 . C = 180 o - A - B = 110 o . b = 6.6 . c = 14.6 . Problem : Solve Triangle ABC given that: A = 153 o , C = 15 o , and b = 11 . B = 180 o - A - C = 12 o . a = 24.0 . c = 13.7 . Problem : Solve Triangle ABC given that: A = 35 o , B = 97 o , and C = 48 o . No solution; three angles don't determine a unique triangle. Problem : Solve Triangle ABC: A = 180 o - B - C = 55 o . a = 11.6 . c = 8.2 . Problem : Solve Triangle ABC: C = 180 o - A - B = 30 o . a = 15.9 , and b = 13.1 . Problem : In Triangle ABC, a = 4 , b = 3 , and B = 122 o . Is a triangle determined? If so, how many? No. No such triangle exists. Problem : If the side opposite the given angle is longer than the other given side, how many triangles are determined? One.
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Problem : Solve Triangle ABC given that a = 12 , b = 7 , and B = 36 o . sin( A ) = 1.07 . No solution. Sine never exceeds one. Problem : Solve Triangle ABC given that a = 7 , b = 6 , and B = 45 o . sin( A ) = .82 . A 55.6 o or 124.4 o . This is an example of case three discussed in the text. The first possible triangle, an acute triangle, has parts a = 7 , b = 6 , c 8.3 , A 55.6
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