100 200 300 400 500 600 700 800 .11 .24 .38 .53 .70 .87 1.06 1.27
Obviously, the closer your target, the sooner the bullet reaches him, which means (for him) it's far more dangerous to expose himself for 1 second at 100 yards than at 500 yards. Add to these times the amount of time it would take you to spot him, shift focus to one eye, look through the crosshairs, and squeeze off a shot. With practice, you should be able to engage a target that exposes itself for 1.5 to 2 seconds.
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Deer hunting is an interesting thing that reminds you of those golden old ages of 19th centuries, where a handsome hunk well equipped with all hunting material rides on horse searching for his target animal either for the purpose of displaying his masculine powers or for enticing and wooing his lady love.