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 °
