Archery Statistics

Longest Arrow Shot Supposedly 1/2 mile. Long Bow or Turkish Bow
Longest Lethal Arrow Shot
Furthest Arrow has traveled modern times in competition.
The furthest distance shot with any bow is 2,047 yards (1,871.84m) .Jun 19, 2009

Longest Modern Day accurate tournament shot.
"The furthest distance shot with any bow is 2,047 yards (1,871.84m) . This was shot by the late Harry Drake in 1988 using a crossbow.
The furthest with a hand-held — and pulled — bow is 1,336 yds 1' 3" (1,222.01m) , shot by Don Brown with an unlimited conventional Flight bow in 1987."

43 - 44 degrees will get you a little more distance than 45 because the flight is not a true arc due to air friction.