Abstract
Summary: We investigate integer and rational solutions to two angle optimization problems: where to park at a drive-in movie theater and where to place a solar panel in an alley between two walls. For the first problem we parametrize all integer-valued problems with integer solutions, and count the number of integer-valued problems with a given integer solution. For the second problem we characterize all integer-valued problems with rational solutions, and parametrize those solutions that also have a maximum angle that is rational in degrees.
| Original language | English |
|---|---|
| Pages (from-to) | 197-208 |
| Number of pages | 12 |
| Journal | College Mathematics Journal |
| Volume | 53 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2022 |