Skyrim Sidelines- Angi the Archer (Part 3)
Eagle Eye is very important for the third challenge, as otherwise it's essentially impossible to get the precision you need with a single shot. When you do make the shot successfully, you gain yet another rank in Archery and Angi will make the expected impressed noises.
There is one more challenge you can take from Angi- the most difficult, combining the precision requirement of the far shot with the speed requirement of multiple targets: You have ten seconds in which to strike all four targets. Quick Shot or Steady Hand is needed for this, and you'll have a hard time of it if you don't have both perks- though they certainly won't make it a walk in the park.
It will almost certainly take you multiple tries to hit all the targets- particularly given that the first three are at ranges where your arrow is actually -upwards- from where you've held the crosshairs. Succeed despite this, and you will earn another rank of archery.
Next time you tell Angi you want to practice, she will refuse, saying that she's taught you everything she knows- you may even be as good as her, which she considers a potentially frightening thought.
If you're cruel you can take this as a prompt and attack her. Offering to teach her in return amuses her (but not enough to laugh).
Thanking her for her help gets a strong response- apparently it's very rare she sees anyone up here who's not after either her possessions or her head. She thanks you for stopping by so many times, and then gives you an unique weapon- Angi's Bow. While not anything terribly special, the bow has her memories attached to it, and she doesn't want to be reminded anymore.