Angel's Landing is the prominent dark pyramidal peak on the right-hand side of the valley in this photo. Beneath it is the Organ, a dark mound-looking feature from this vantage point. As the previous posters have noted, the Angel's Landing Trail is not for the faint of heart or acrophobes. Several folks have fallen to their deaths.
When we were there in
2003 we talked to an off-duty ranger who said that they get an occasional suicide there as well.
If you do decide to do the hike, get an early start to beat the tourists. I couldn't believe how many people were on the trail the day we hiked it.