ooo T-Mobile LTE 3:52 PM 3596. Use the Law of Cosines to determine the indicated

Question

ooo T-Mobile LTE 3:52 PM 3596. Use the Law of Cosines to determine the indicated side x. (Assume b = 12 and c-3. Round your answer to one decimal place.) Need Help? Solve triangle ABC. (Round the length to three decimal places and the angles to one decimal place.) 14 120 Need Help?W Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) 1, D-17, -22 Need Help? Find the indicated side x. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume b 10 and c 22. Round your answer to one decimal place.) Need Help? haul

Explanation / Answer

1) applying law of cosines

x^2 = 12^2 + 3^2 - 2 * 12 * 3 cos 88

x = sqrt ( 144 + 9 - 72 cos 88 )

x = 12.3

2) applying law of cosines

c^2 = 14^2 + 22^2 - 2* 14 * 22 cos 120

c = 31.432

applying law of sines now to find the remaining angles

c/ sin C = a / sin A

31.432 / sin 120 = 22 / sin A

A = 37.3 degrees

31.432 / sin 120 = 14/ sin B

B = 22.7 degrees

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