How do you determine the number of possible solutions using the rule of law of sines given b=15.2, A=12°30', C=57°30'?
1 Answer
Jul 10, 2015
Solve triangle knowing b, A, and C
Explanation:
Find B, a and c.
Angle B = 180 - C - A = 180 - 57.30 - 12.30 =
Use trig identity:
There are 2 possible solutions, because 0.94 is the same sin value of 2 angles: B = 110.40 and B = 69.60. However, the solution angle B = 69.60 is rejected, because the sum A + B + C must be 180 deg.