From the monastery you can keep going, which, of course, you should!. A few steps away, you find a strange sign which reads: "All directions", "the end of the world". It's at once frigtening but gives a feeling of "deja vu" as well. This sign leads to an absolutely amazing view of the valley of Araba. It's tremendous. It's one of those places where you can stand and watch the world turn. I'd suggest meeting Maria, a Spanish girl now living with Bedouins in Petra and helping in a small snack bar overlooking the gorge. She's a fantastic girl that is overflowing with vitality and joy. You can't miss the views!
Getting up to the Monastery of Petra can be a grind, but you really need to summon your strength and make the climb. In front of the Monastery there's a path leading to two sights with the odd names of "best view" and "canyon view". Of course, we chose the first! Once you get to the top, the view in unbelievable. On the one side you have the monastery while on the other the canyon. It's breathtaking! On the top, there was a Bedouin tent selling all sorts of trinkets, and it was a pleasure talking to the vendor.
For my taste, this mountain is the best hiking option in Petra. This journey takes a little over half an hour and you're rewarded by views of the Treasury from above. The road starts from the Royal Tombs, the rise is staggered, so everyone should be able to make it. The best thing is that almost nobody does this route, and you can have a quiet, relaxing view alone with this great monument.