Question

Please help on law of sines and cosines homework!!!

Answer 1

Answer:

25°

Step-by-step explanation:

Law of sines is:

a / sin A = b / sin B = c / sin C

Law of cosines is:

c² = a² + b² − 2ab cos C

Since we know 3 sides and no angles, we need to use law of cosine.  We can rearrange the variables to get another version:

a² = b² + c² − 2bc cos A

Plugging in values and solving for A:

6² = 12² + 14² − 2(12)(14) cos A

cos A = 19/21

A ≈ 25°