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

Mathematics

2 answers:

Usimov [2.4K]3 years ago

7 0

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°).

14. One side and one angle do not define a unique triangle. There is insufficient information to find f.

Alexxandr [17]3 years ago

5 0

The person above me answered the question!

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