find values for b such that the triangle has no solution A=88 degree, a=315.6

Answer 1

assume angle B = 90°, then b has one solution, namely
sin88 = 315.6/b
b = 315.6/sin88 = 316.79

so there is no solution for b > 316.79

check: let b = 320
find angle B
sin88/315.6 = sinB/320
sinB = 320sin88/315.6 = 1.0133.. which is not possible.