USAAAO — 2024 First Round

Moving into MIT for the start of the spring semester, Austin is flying from Lubbock, Texas (33.58° N, 101.84° W) to Boston, MA (42.36° N, 71.06° W). However, when he lands he finds that he is not in Boston. The pilots entered the latitude coordinate incorrectly! But Austin remembers that the plane left Lubbock at a bearing of 63°. Assume that the flight still took the shortest path to the current destination. Where is Austin now?