Shuttle approach glideslope (and it is gliding!) is about 22 degrees. Incredibly steep, and fast- it's a flying heavy brick with little delta wings. For the last few hundred feet it rounds out to bleed off speed so it transitions to a low level glideslope that is much shallower. I understood there was a lot of competition in the astronaut corps to land it on the nail at the right speed, so I think it is mainly landed manually. If i was a command pilot, I would hate to see the automatics doing my job!