[nprecup]

I'm assuming you mean angle of attack, not flight path angle. The aircraft could certainly be capable of a 60 degree climb until it slowed down enough that it couldn't maintain a low enough angle of attack. It probably could only sustain something less than a 30 degree climbing flight path angle (while empty), as that would be pushing the limit of the thrust to weight ratio. That being said cameras can be used in ways that make things look much more dramatic than they actually were.

As a side note, at 30 degrees AoA the aircraft will not be able to continue flying anyway, the wings will have stalled well before that, and the pilot would be made painfully aware of this fact through stick shakers, aural warnings, and very rough tail buffet.

I'm a flight test engineer, so this stuff is what I get to do for work! :)