Why is it important to identify corresponding points

Me n o w. i need t h i s. 10 points

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?

What number gives you a irrational number when added to 2/5