Toru rode his bike from his house to the library, to the park, and then back home. Toru realized that his route made an isosceles triangle, and that the library was the exact same distance from both his house and the park. What is the measure of the angle at the library?

Aflagpole broke in a storm. it was originally 8 1 81 feet tall. 2 8 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. how far away is the end of the pole from the base of the pole along the ground?