With the right triangle ABC, angle B=28 degrees, and side c=54.8in. what is side A

It depends upon whether side 'c" is a leg or the hypoteneuse

If its the hypoteneuse, then angle A = 90 - 28 = 62

And we have

sin(62) = A / 54.8     multiply both sides by 54.8

54.8 sin (62) = A = about 48.39 in.

If c is a leg, then A has to be the hypoteneuse (or else angle B would = 90)

So....angle C = 62 degrees   and we have

sin (62) = 54.8 / A       rearranging, we have

A = 54.8 / sin(62)  = about 62.06 in.