USAAAO 2024, I кръг — Задача 11
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
Joe lives at the bottom of a vertical cylindrical hole with a radius of 10 m at a depth of 10 km below the surface. He sees the Sun directly through the opening of the hole for a couple days twice a year, around November 2nd and February 9th. Which of the following is Joe’s latitude?
(a) N
(b) N
(c) N
(d) S
(e) S
Отговори
- D
Решение
Solution:
This question and the following one are inspired by Chapter 30 of What If? 2 by Randall Munroe.
The declination of an object at zenith equals the latitude. The Sun’s declination is negative in November and February, and the absolute value of the Sun’s declination never exceeds the obliquity , so the only possibility is S.
Answer: D
Оригинал в Архива: usaaao_first_exam_2024-3.pdf · официални решения: usaaao_first_exam_2024_solutions-1.pdf