Question

Find b. Round to the nearest tenth.

Answer 1

Find Angle B:  B = 180 - (82+55) = 43.  Then apply the law of sines:

   b            8 cm
--------- = ----------
sin 43       sin 55
                                        (sin 43)(8 cm)
Solving for b, we get b = ------------------- = 6.66, or 6.7 (cm, to the nearest tenth).     
                                              sin 55

Answer 2

This is 90 degrees because we have to have an right angle and a right angle is 90 degrees