Question

Use the Law of Sines to solve each triangle with the given measures. Round answers to the nearest tenths. A = 38°, a = 41 in, b = 54 in

Answer 1

Use the Law of Sines and set up the equation sin A/side a = sin B/side b. So you have sin 38/41 = sin B/54. Cross-multiply to get 54 sin 38 = 41 sin B. Make sure your calculator is in degree mode and the left side comes out to be 33.246. Now divide both sides by 41 to get an equation of .8109=sin B. Use the inverse sin function on your calculator to get that sin^-1(.8109) = 54.18 degrees