Given a possible triangle ABC with a=5, b=11, and A=23 degrees, find a possible value for angle b. Round to the nearest tenth. A. 10.2° B. 11.2° C. 59.3° D. no solution Please select the best answer from the choices provided
Using the law of the sine, we have the following relationship:  Sine (A) / a = Sine (B) / b  Substituting values we have:  Sine (23) / 5 = Sine (B) / 11  Clearing we have:  (Sine (23) / 5) * (11) = Sine (B)  B = Asine ((Sine (23) / 5) * (11))  B = 59.27 degrees  Rounding off we have:  B = 59.3 degrees  Answer:  C. 59.3 °