use the laws of Sines and law of cosines to find missing Dimensions. Part 2​

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

__

  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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