The speed and spin you use as you hit a ball makes a difference.

Hitting the cue ball hard so it is sliding when it impacts the object ball gives the classic elastic 90 degree angle after impact path as shown below. Allowing the cue ball to start rolling by hitting softly or above center produces a surprise. Any collision that isn't very thin or pracically full-on results in a path about 30 drgrees from the initial cue ball path. It doesn't really matter exactly what angle you cut. You always get around 30 degrees. The math for this was published in 1835 by Gaspar Coriolis but the news hasn't spread that well. Of course, hitting it (low and hard) with draw where the cue ball is sliding and trying to roll backwards will pull back from the 90 degree elastic collision line as shown below.