Yeah, her/his other senses would need to be heightened, either by natural or unnatural means. Think Daredevil for instance. Other than just hearing, his heightened sense of touch allows him to feel variations in temperature/pressure/humidity, his heightened sense of smell/taste allow him to smell/taste particles in the air. These could potentially be factored into your characters story.
Like I said, it could be natural through training and adaptation, or unnatural through magic or technology.
This is all assuming the character is human. If the character is another species/race such as one with larger ears or longer fingers it might bode well for his archery capabilities. And if the character is not human, you may consider giving the character a creative new organ. Think birds who can "see" magnetic fields which allow them to traverse the globe easier.