Late 15th Century knight vs Book Aragorn (LOTR)
Consider the knight to be equal in skill and physical ability with Jacques de Lalaing.
The arena will be an large empty field with dry and solidly packed dirt as the floor.
The Knight has full set of plate, as of 1499, in high quality. He is armed with a standard (if well-made) two handed longsword, equal in length to Andúril.
Aragorn can be equipped with any equipment he possessed at any point in the books, provided it is not a ranged weapon and he can actually lift and swing it.
As a bonus round Aragorn can take handheld ranged weapons, but the knight gets a light 15th century crossbow.