D&d 5e Long Range Archery Build
This build is designed to create a character capable of sinking arrows into knees with alarming accuracy.
First off, this is going to be a Fighter/Warlock multiclass. You’ll need at least 3 levels in fighter and 5 levels in warlock.
When building the fighter side of this multiclass, you’ll need to choose the archery fighting style at level 1. This will give you a +2 boost to your ranged weapons attacks.
Next you’ll need to choose the Arcane archer archetype for your fighter class at level 3. This isn’t strictly necessary, but the features provided by the arcane archer sub class will provide several more options and bonuses to your character’s ranged attacks in the long run.
For the warlock side of your multiclass, it’s important not to get hung up on the spellcasting aspect of this class. The spellcasting abilities of the warlock are not what provides this build with its unmatched ranged attack power.
You’ll want to choose the hexblade patron at level 1 of your warlock class. This will provide you the ability to use a pact weapon, which will allow you to use charisma in place of dexterity for attack and damage rolls and is important for the next step.
The next step is to take the Pact of the Blade pact boon at level 3. This will allow you to take the next step needed at level 5.
At level 5, your hexblade patron and pact of the blade boon qualify your character to take the Eldritch invocations: improved pact weapon, Eldritch smite, and thirsting blade.
Improved pact weapon allows you to create a shortbow, longbow or crossbow as your pact weapon and use your charisma modifier for attack and damage rolls in place of dexterity, as well as giving you a plus one bonus to attack and damage rolls.
Eldritch smite adds your charisma modifier to the damage roll a second time.
Thirsting blade allows you to make a second attack with your pact weapon when you take the attack action with it. 
Finally, if you can do so, take the sharp shooter feat. This will allow you to ignore disadvantage when shooting at long range. It will also allow you to ignore half and 3/4 cover if your target is hiding or obscured.
Let’s crunch some numbers to determine this build’s accuracy.
Assuming the character’s charisma score is 12 or 13, you’ve got a modifier of +1 to attack and damage rolls when using your pact weapon. If your charisma is 20 the modifier is +5
The archery fighting style grants a +2 bonus to ranged attacks.
The improved pact weapon provides a +1 bonus to attack and damage rolls made with your pact weapon.
Eldritch smite adds your charisma modifier to the damage, which could be between +1 and +5 dependent on your charisma score.
With a charisma score of 12 or 13 your attack bonus is +4 and your damage bonus is +3.
With a charisma score of 20 your attack bonus is +8 and your damage bonus is +11.
None of this math includes the use of the sharp shooter feat, which allows you to take a -5 to your attack roll in order to gain an additional +10 damage bonus.
Have fun flinging projectiles as patellas my friends.
