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 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
 
 C. 59.3 °