How long it will take depends upon your fitness and acclimatization level. I'm on the slow side, and figure about 1-1,200'/hour, so for me that slope takes about an hour, maybe a bit more.
Trail Camp is about 12.4', and Trail Crest is 13.6, or about 1,200' gain. You'll gain part of this more gradually (maybe 400') on the trudge from Trail Camp to the base of the steeper slope.
It's most a head game. One step at a time, remember to breathe, and don't look up - 3 things a friend used to recite frequently. Don't psych yourself out. It doesn't last forever.
