My PC is an archer—a human no-archetype fighter 4/hawkguard warder 5—who has taken only feats that let him make more ranged attacks and deal more damage with ranged attacks. My PC doesn't even have a melee weapon.
The enemy is also level 9 but he's taken the feats Combat Reflexes and Cut from the Air. The enemy's feats, attack bonus, and really high Dexterity bonus mean that his attack rolls with arrow cutting are on average about 7 points higher than my PC's attack rolls with his arrows and that the number of times he can cut arrows launched at him exceeds my PC's rate of fire. The enemy has multiple special senses, including darkvision, tremorsense and see invisibility.
What can my PC do to beat this guy?