You can get a free bow and free arrows from Lowe’s Archery Emporium

Ranged Guide- Ranged is a skill you can use Fallen Earth Chips to fight monsters and other people. It allows you to attack from a distance with a bow and arrow typically, although there are many different weapons you can use which are explained later in this guide.

If you are just starting out in Ranged you may want to pay a visit to Roddeck the Advisor in the building east of the Lumbridge General Store to learn about the different kinds of bows, arrows and armour as well as various other tips. You can get a free bow and free arrows from Lowe’s Archery Emporium in Varrock. 

Basics: To start off, you can use the basic bow and arrow. You will need to wield your bow as your weapon by clicking on it in your inventory, and then click on your arrows to hold them in your quiver. You will see your character now ready for action.

Just like normal fighting, to start attacking you simply select attack on the monster you want to start ranging. You will see your character start taking arrows from his/her quiver and shooting at the enemy.