<p>Tibia-Stats did an amazing article researching how the distance fighting skill, distance to the target and weapon choice effect on your hit rate:<br>http://tibia-stats.com/index.php?akcja=6003&research=distance</p><p>To summarize it, here is the relevant part to your question. The Maximum hit % is reached at the mentioned distance skill value, for the corresponding weapon and distance to the target:</p><h3 style="text-align:center">One-handed weapons</h3><table border="1" cellpadding="1" style="width:500px"><tbody><tr><td><strong>Weapon</strong></td><td><strong>Max. hit %</strong></td><td><strong>1 sqm</strong></td><td><strong>2 sqm</strong></td><td><strong>3 sqm</strong></td><td><strong>4 sqm</strong></td></tr><tr><td><img alt="Throwing Knife"
src="http://tibia-stats.com/img/items/tibia_stats_Throwing_Knife.gif" src="https://vignette.wikia.nocookie.net/tibia/images/4/4d/Throwing_Knife.gif/revision/latest/scale-to-width-down/32?cb=20060222133318&path-prefix=en" style="height:32px; width:32px"><img alt="" src="Throwing Star"><img alt="Throwing Star" src="http://vignette.wikia.nocookie.net/tibia/images/0/0a/Throwing_Star.gif/revision/latest?cb=20051209184427&path-prefix=en" style="height:32px; width:32px"><img alt="Viper Star"
src="http://tibia-stats.com/img/items/tibia_stats_Viper_Star.gif" src="https://vignette.wikia.nocookie.net/tibia/images/a/aa/Viper_Star.gif/revision/latest/scale-to-width-down/32?cb=20070629233559&path-prefix=en" style="height:32px; width:32px"><img alt="Spear"
src="http://tibia-stats.com/img/items/tibia_stats_Spear.gif" src="https://vignette.wikia.nocookie.net/tibia/images/c/cf/Spear.gif/revision/latest/scale-to-width-down/32?cb=20070627015816&path-prefix=en" style="height:32px; width:32px"><img alt="Small Stone"
src="http://tibia-stats.com/img/items/tibia_stats_Small_Stone.gif" src="https://vignette.wikia.nocookie.net/tibia/images/5/52/Small_Stone.gif/revision/latest/scale-to-width-down/32?cb=20071212173559&path-prefix=en" style="height:32px; width:32px"></td><td>76%</td><td>Dist. 76</td><td>Dist. 29</td><td>Dist. 45</td><td>Dist. 58</td></tr><tr><td><img alt="Hunting Spear"
src="http://tibia-stats.com/img/items/tibia_stats_Hunting_Spear.gif" style="height:32px; width:32px"><img alt="Royal Spear" src="http://tibia-stats.com/img/items/tibia_stats_Royal_Spear.gif" src="https://vignette.wikia.nocookie.net/tibia/images/3/38/Hunting_Spear.gif/revision/latest/scale-to-width-down/32?cb=20070717041526&path-prefix=en" style="height:32px; width:32px"><img alt="Royal Spear" src="https://vignette.wikia.nocookie.net/tibia/images/9/9b/Royal_Spear.gif/revision/latest/scale-to-width-down/32?cb=20070630122549&path-prefix=en" style="height:32px; width:32px"><img alt="Enchanted Spear"
src="http://tibia-stats.com/img/items/tibia-stats_Enchanted_Spear.gif" src="https://vignette.wikia.nocookie.net/tibia/images/6/68/Enchanted_Spear.gif/revision/latest/scale-to-width-down/32?cb=20150125155217&path-prefix=en" style="height:32px; width:32px"></td><td>80 %</td><td>Dist. 78</td><td>Dist. 31</td><td>Dist. 48</td><td>Dist. 61</td></tr><tr><td><img alt="Assassin Star"
src="http://tibia-stats.com/img/items/tibia_stats_Assassin_Star.gif" src="https://vignette.wikia.nocookie.net/tibia/images/9/99/Assassin_Star.gif/revision/latest/scale-to-width-down/32?cb=20070622213622&path-prefix=en" style="height:32px; width:32px"><img alt="Royal Star" src="http://vignette.wikia.nocookie.net/tibia/images/e/e8/Royal_Star.gif/revision/latest?cb=20170725212647&path-prefix=en" style="height:32px; width:32px"></td><td>96 %</td><td>Dist. 73</td><td>Dist. 30</td><td>Dist. 44</td><td>Dist. 57</td></tr></tbody></table><p>Compared to their information, I added <img alt="Royal Star" src="http://vignette.wikia.nocookie.net/tibia/images/e/e8/Royal_Star.gif/revision/latest?cb=20170725212647&path-prefix=en" style="height:32px; width:32px">Royal Stars because I have personally experienced the 96% hit rate but <img alt="Leaf Star" src="http://vignette.wikia.nocookie.net/tibia/images/6/66/Leaf_Star.gif/revision/latest?cb=20170709101736&path-prefix=en" style="height:32px; width:32px"> Leaf Star and <img alt="Glooth Spear" src="http://vignette.wikia.nocookie.net/tibia/images/0/07/Glooth_Spear.gif/revision/latest?cb=20140615122730&path-prefix=en" style="height:32px; width:32px"> Glooth Spear have no information on them.<br> </p><h3 style="text-align:center">Ammunition for two-handed weapons</h3><table border="1" cellpadding="1" style="width:500px"><tbody><tr><td><strong>Ammunition</strong></td><td><strong>Max. hit %</strong></td><td><strong>1 sqm</strong></td><td><strong>2 sqm</strong></td><td><strong>3 sqm</strong></td><td><strong>4 sqm</strong></td><td><strong>5 sqm</strong></td><td><strong>6 sqm</strong></td></tr><tr><td><img alt="Bolt"
src="http://tibia-stats.com/img/items/tibia_stats_Bolt.gif" src="https://vignette.wikia.nocookie.net/tibia/images/7/74/Bolt.gif/revision/latest/scale-to-width-down/32?cb=20150720234317&path-prefix=en" style="height:32px; width:32px"><img alt="Piercing Bolt"
src="http://tibia-stats.com/img/items/tibia_stats_Piercing_Bolt.gif" src="https://vignette.wikia.nocookie.net/tibia/images/7/72/Piercing_Bolt.gif/revision/latest/scale-to-width-down/32?cb=20150720234319&path-prefix=en" style="height:32px; width:32px"></td><td>87%</td><td>Dist. 70</td><td>Dist. 28</td><td>Dist. 42</td><td>Dist. 57</td><td>Dist. 70</td><td>Dist. 87</td></tr><tr><td><img alt="Arrow"
src="http://tibia-stats.com/img/items/tibia_stats_Arrow.gif" src="https://vignette.wikia.nocookie.net/tibia/images/6/69/Arrow.gif/revision/latest?cb=20050520003245&path-prefix=en" style="height:32px; width:32px"><img alt="Poison Arrow"
src="http://tibia-stats.com/img/items/tibia_stats_Poison_Arrow.gif" src="https://vignette.wikia.nocookie.net/tibia/images/6/62/Poison_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20050528000835&path-prefix=en" style="height:32px; width:32px"><img alt="Earth Arrow"
src="http://tibia-stats.com/img/items/tibia_stats_Earth_Arrow.gif" src="https://vignette.wikia.nocookie.net/tibia/images/0/02/Earth_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20071215061000&path-prefix=en" style="height:32px; width:32px"><img alt="Shiver Arrow"
src="http://tibia-stats.com/img/items/tibia_stats_Shiver_Arrow.gif" src="https://vignette.wikia.nocookie.net/tibia/images/1/16/Shiver_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20101222214827&path-prefix=en" style="height:32px; width:32px"><img alt="Flaming Arrow"
src="http://tibia-stats.com/img/items/tibia_stats_Flaming_Arrow.gif" src="https://vignette.wikia.nocookie.net/tibia/images/d/da/Flaming_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20101222214308&path-prefix=en" style="height:32px; width:32px"><img alt="Flash Arrow"
src="http://tibia-stats.com/img/items/tibia_stats_Flash_Arrow.gif" src="https://vignette.wikia.nocookie.net/tibia/images/8/8c/Flash_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20150125151320&path-prefix=en" style="height:32px; width:32px"><img alt="Power Bolt"
src="http://tibia-stats.com/img/items/tibia_stats_Power_Bolt.gif" src="https://vignette.wikia.nocookie.net/tibia/images/1/1c/Power_Bolt.gif/revision/latest/scale-to-width-down/32?cb=20150720234319&path-prefix=en" style="height:32px; width:32px"><img alt="Infernal Bolt"
src="http://tibia-stats.com/img/items/tibia_stats_Infernal_Bolt.gif" src="https://vignette.wikia.nocookie.net/tibia/images/a/a6/Infernal_Bolt.gif/revision/latest/scale-to-width-down/32?cb=20090704070449&path-prefix=en" style="height:32px; width:32px"></td><td>91%</td><td>Dist. 73</td><td>Dist. 29</td><td>Dist. 44</td><td>Dist. 59</td><td>Dist. 73</td><td>Dist. 91</td></tr><tr><td><img alt="Onyx Arrow"
src="http://tibia-stats.com/img/items/tibia_stats_Onyx_Arrow.gif" style="height:32px; width:32px"><img alt="Tarsal Arrow" src="https://static.wikia.nocookie.net/tibia/images/d/d7/Tarsal_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20111212212926&path-prefix=en" src="https://vignette.wikia.nocookie.net/tibia/images/3/3f/Onyx_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20070623041334&path-prefix=en" style="height:32px; width:32px"><img alt="Tarsal Arrow" src="https://vignette.wikia.nocookie.net/tibia/images/d/d7/Tarsal_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20111212212926&path-prefix=en" style="height:32px; width:32px"></td><td>94%</td><td>Dist. 76</td><td>Dist. 30</td><td>Dist. 45</td><td>Dist. 61</td><td>Dist. 76</td><td>Dist. 94</td></tr><tr><td><img alt="Sniper Arrow"
src="http://tibia-stats.com/img/items/tibia_stats_Sniper_Arrow.gif" src="https://vignette.wikia.nocookie.net/tibia/images/2/2e/Sniper_Arrow.gif/revision/latest?cb=20150720234322&path-prefix=en" style="height:32px; width:32px"></td><td>100%</td><td>Dist. 77</td><td>Dist. 30</td><td>Dist. 45</td><td>Dist. 59</td><td>Dist. 77</td><td>Dist. 91</td></tr></tbody></table><p>To this maximum hit % you would add the Hit % modifier of the weapon you are using, so regular <img alt="Arrow"
src="http://tibia-stats.com/img/items/tibia_stats_Arrow.gif" src="https://vignette.wikia.nocookie.net/tibia/images/6/69/Arrow.gif/revision/latest?cb=20050520003245&path-prefix=en" style="height:32px; width:32px"> Arrows while using an <img alt="Elvish Bow" src="http://vignette.wikia.nocookie.net/tibia/images/2/20/Elvish_Bow.gif/revision/latest?cb=20080623160857&path-prefix=en" style="height:32px; width:32px"> Elvish bow that has a +5% hit modifier would have a resulting 96% hit chance if you reach the distance skill threshold.</p><p>As you can notice, the article is a bit outdated and a lot of ammunition has been released since then:</p><ul><li> <img alt="Spectral Bolt" src="https://vignette.wikia.nocookie.net/tibia/images/a/a8/Spectral_Bolt.gif/revision/latest/scale-to-width-down/32?cb=20170713181440&path-prefix=en" style="height:32px; width:32px">Spectral Bolt is claimed to have a 93% hit chance according to <a rel="nofollow" href="http://tibia-stats.com/index.php?akcja=distanceCalc">tibia-stats distance damage calculator.</a></li><li>Since <img alt="Prismatic Bolt"
src="https://static.wikia.nocookie.net/tibia/images/3/32/Prismatic_Bolt.gif/revision/latest/scale-to-width-down/32?cb=20120622190103&path-prefix=en" src="https://vignette.wikia.nocookie.net/tibia/images/3/32/Prismatic_Bolt.gif/revision/latest/scale-to-width-down/32?cb=20120622190103&path-prefix=en" style="height:32px; width:32px"> Prismatic Bolt and <img alt="Drill Bolt"
src="https://static.wikia.nocookie.net/tibia/images/f/fc/Drill_Bolt.gif/revision/latest/scale-to-width-down/32?cb=20120622190148&path-prefix=en" src="https://vignette.wikia.nocookie.net/tibia/images/f/fc/Drill_Bolt.gif/revision/latest/scale-to-width-down/32?cb=20120622190148&path-prefix=en" style="height:32px; width:32px"> Drill Bolt fall between Power and Infernal, we could assume the same 91% hit chance but tibia-stats own calculator puts it at 90% instead, a new tier.</li><li><img alt="Vortex Bolt"
src="https://static.wikia.nocookie.net/tibia/images/6/6a/Vortex_Bolt.gif/revision/latest/scale-to-width-down/32?cb=20111212213313&path-prefix=en" src="https://vignette.wikia.nocookie.net/tibia/images/6/6a/Vortex_Bolt.gif/revision/latest/scale-to-width-down/32?cb=20111212213313&path-prefix=en" style="height:32px; width:32px"> Vortex Bolt has a 89% hit chance according to tibia-stats calculator, which is a new tier.</li><li><img alt="Crystalline Arrow"
src="https://static.wikia.nocookie.net/tibia/images/f/f4/Crystalline_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20120622174807&path-prefix=en" src="https://vignette.wikia.nocookie.net/tibia/images/f/f4/Crystalline_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20120622174807&path-prefix=en" style="height:32px; width:32px"> Crystalline Arrows are known to have a 95% hit chance, but the distance skill threshold is not known. We can figure it is between the 94% and 100% tiers which are already very similar.</li><li>I have no data about <img alt="Envenomed Arrow"
src="https://static.wikia.nocookie.net/tibia/images/9/90/Envenomed_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20120622190155&path-prefix=en" src="https://vignette.wikia.nocookie.net/tibia/images/9/90/Envenomed_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20120622190155&path-prefix=en" style="height:32px; width:32px"> Envenomed Arrow but using tibia-stats distance damage calculator they show a 93% maximum hit chance, which is a new tier.</li><li>I added in <img alt="Tarsal Arrow"
src="https://static.wikia.nocookie.net/tibia/images/d/d7/Tarsal_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20111212212926&path-prefix=en" src="https://vignette.wikia.nocookie.net/tibia/images/d/d7/Tarsal_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20111212212926&path-prefix=en" style="height:32px; width:32px"> at the 94% tier because it is the maximum hit chance tibia-stats claims in their calculator.</li><li><img alt="Simple Arrow"
src="https://static.wikia.nocookie.net/tibia/images/2/2d/Simple_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20150720234320&path-prefix=en" src="https://vignette.wikia.nocookie.net/tibia/images/2/2d/Simple_Arrow.gif/revision/latest/scale-to-width-down/32?cb=20150720234320&path-prefix=en" style="height:32px; width:32px">Simple Arrow has very little information to pull from but from the use I've given
it, it and since that is the minimum tier for arrows, we could put it at the 91% tier.</li></ul><p></p><p><strong>To answer your question</strong>, there is no known formula to know the effect of the distance skill in the hit chance but as you can see it does not have a very high effect. If your distance skill is under 91 try to hit your targets from less than 6 sqm and since the next bump is at distance 77 you shouldn't have much trouble reaching the hit cap for your weapon. Distance skill 77 takes only close to three weeks with offline training!</p>
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