Jill and Sonja lived in different towns and decided it would be fun to get a homing pigeon to send messages to each other. (A homing pigeon will fly to a specific place, its home, and a small message can be attached to its leg.) To drive from Jill's house to Sonja's, you need to go 3 miles east and 4 miles south. If the pigeon flies directly from one house to the other, how far does the pigeon fly to deliver the message?