Question

Solve the following triangle. Round all values to the nearest tenth: a = 30, c = 22, A = 102◦ b = ____units B = ____degrees C = _____degrees

Answer 1

You know two side lengths and one angle. We can draw in the information first for a diagram (likely provided but useful nonetheless):

Answer 2

We have enough information here to find angle C using Law of Sines with angle A and C and sides a and c.
With Angle C, you can also find Angle B because of the sum of interior angles of a triangle is a specific value.
With all that, you simply have one other side length to find, which is most generally found through Law of Cosines.