Use the laws of Sines and law of cosines to find missing Dimensions. Part 2
2 answers:
9514 1404 393
Answer:
13. (A, b, C) = (30.66°, 91.042, 25.34°)
14. insufficient information
Step-by-step explanation:
13. The Law of Cosines can help you find the side opposite the given angle. Then that can be used with the Law of Sines to find the other angles.
b = √(a² +c² -2ac·cos(B)) = √(56² +47² -2(56)(47)cos(124°)) ≈ √8288.59
b ≈ 91.042
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A = arcsin(a/b·sin(B)) ≈ arcsin(56/91.042·sin(124°)) ≈ 30.66°
C = 180° -124° -30.66° = 25.34°
The missing dimensions are (A, b, C) = (30.66°, 91.042, 25.34°).
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14. One side and one angle do not define a unique triangle. There is insufficient information to find f.
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Answer: D
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