Chapter 5.4, Problem 27MS

Here we celebrate the power of algebra as a powerful way of finding unknown quantities by naming them, of expressing infinitely many relationships and connections clearly and succinetly, and of uncovering pattern and structure.

27. Beat the drum circle. Your university marching band has a tradition at the end of every football halftime show. They form a large circle in the field with the 50-yard line passing through the center of the circle, and then march counterclockwise while playing the school fight song. If the bass drummer starts on the 50-yard line, and the band marches 180 degrees around the circle, where does the bass drummer end up?