solving a problem using law of sines

Question

Henry and Elsa are standing on a riverbank, 110 meters apart, at points A and B respectively. Elsa is 200 meters from a house located across the river at point C. Suppose that angle A (angle BAC) is 41°. What is the measure of angle B (angle ABC)? Round your answer to the nearest tenth of a degree.

Answer 1

sin 41 / 200 = sin C / 110

(110/200) * sin 41 = sin C

C = inverse_sine( (110/200) * sin 41 )

= 21.15132940515993868954371196437....

Then B = 180 - 41 - C

= 117.8486705948400613045628803563