Find the angle B in an oblique triangle in which a = 31, b = 15, and c = 17. A. 13º28' B. 15º19' C. 151º13' D. 148º47'


We can find the measure of angle B using the Law of cosines. According to the Law of Cosines: Using the values of a,b and c in the above equation we get: Thus measure of angle B is 13.47 degrees. We can convert the decimal part to minutes by multiplying it by 60. So measure of angle B will be 13 degrees and (60 x 0.47) minutes which equals 13 degrees and 28 minutes or 13° 28'. Thus option A gives the correct answer.

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