USAAAO 2024, I кръг — Задача 28

USAAAO 2024 - First Round · 10 февруари 2024 г.

Problem writers

Wesley Andrade, Abhay Bestrapalli, Austin Chen, Justin Chen, Ved Gund, Hagan Hensley, Sandesh Kalantre, Evan Kim, David Lee, Joe McCarty, Arjun Patel, Sahil Pontula, Tara Rezaei, Raul Teixeira, Leo Yao, David Zhang

Условие

Questions 28-30 build upon the same prompt. Use data from any of the questions for any of the other questions.

Moving into MIT for the start of the spring semester, Austin is flying from Lubbock, Texas (33.58∘N,101.84∘W)(33.58^{\circ}\mathrm{N}, 101.84^{\circ}\mathrm{W}) to Boston, MA (42.36∘N,71.06∘W)(42.36^{\circ}\mathrm{N}, 71.06^{\circ}\mathrm{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∘63^{\circ}. Assume that the flight still took the shortest path to the current destination. Where is Austin now?

(a) (51.46∘N,71.06∘W)(51.46^{\circ}\mathrm{N}, 71.06^{\circ}\mathrm{W})

(b) (48.46∘N,71.06∘W)(48.46^{\circ}\mathrm{N}, 71.06^{\circ}\mathrm{W})

(c) (45.46∘N,71.06∘W)(45.46^{\circ}\mathrm{N}, 71.06^{\circ}\mathrm{W})

(d) (41.46∘N,71.06∘W)(41.46^{\circ}\mathrm{N}, 71.06^{\circ}\mathrm{W})

(e) (39.46∘N,71.06∘W)(39.46^{\circ}\mathrm{N}, 71.06^{\circ}\mathrm{W})

Отговори

Решение

Оригинал в Архива: usaaao_first_exam_2024-3.pdf · официални решения: usaaao_first_exam_2024_solutions-1.pdf