Here's a nice .308 Winchester ballistics chart courtesy of snipercentral.com. I wish I had one available for the Russian 7N1 ammo, but I do not.
http://www.snipercentral.com/308.htm
The steep angle that starts just past the 600 yard mark clearly indicates an even steeper progression beyond 1000 yards. Roll that steep drop-off out to 1760 yards (or 5280 feet) and you'll have a pretty steep pitch on the bullet at the 1 mile (1760 yards) mark.
Start factoring in different bullet weights, wind, spin-drift, humidity, day vs. night, twist of the barrel, and barrel length...it becomes very tough to hit a 1 mile shot on a precision .308 Winchester round. That alone should indicate that doing so with an 11 inch AK-47 with any degree of accuracy is flat-out an impossibility.
Snipers who served in Viet Nam (or any other current conflict) used bullet impact angles to judge distances of enemy snipers. The steeper the entry angle, the more likely the sniper was at a longer range.
At least one other poster hit the nail on the head and brought up the issue of bullet weight (grain). It's a HUGE factor at that distance. But then again, so is sight height as it will dictate if you have enough MOA or Mil movement to compensate before you're stuck in just mil-dot useage. I tend to prefer the 20 and 30 MOA bases myself with at lest a 25x scope, but the mil-dot ranging formulas are factored for 10x magnification. The difference between .223 Remington and 5.56 Nato at just 100 yards isn't a lot, but it's clearly notable.
World record was made on a .50BMG (US SF heavy sniper round) at 2430 meters which is 2657.408 (and change) yards. That's approximately 1.5 miles folks. Then we're talking the difference between a 165 Match boat tail or 174gr Matchking boat tail 308 vs a 647gr M33 Barrett or 750gr AMax .50BMG.
For those who would like the mil-dot ranging formula for MOA here it is:
Size of the target in inches x 27.778
Mil Reading
That underline is supposed to mean "divided by" and will give you your range in yards. Then you just need a ballistics card or scope-dope card to figure your scope clicks for that range. Just know that the card does not give you the wind, you have to adjust for it and some cards will give you how much added adjustment for a cross-wind, though that does little for a head wind. That's where a little added calculation, a good spotter, and conditions proper for a vapor trail become very important tools.
Mil Reading: the estimated size of the target as read at 10x via the mil dots.
I tend to place the base so that the crosshairs are at the bottom-right of the target. That way I'm near flush with the exposed bottom. Then I look at how large in mil-dots the target is and plug it into my formula to get my range. Then I just refer to my ballistics card and dial-it-in. All that's left is sending the mail.