“2019年USAAAO决赛第9题”的版本间的差异

来自astro-init
 
第2行: 第2行:
 
9. (15 points)  
 
9. (15 points)  
  
a) Find the shortest distance from Boston ($$42.36010^{\circ} N, 71.05890^{\circ} W$$) to Beijing (39.90420^{\circ} N, 116.40740^{\circ} E)traveling along the Earth’s surface. Assume that the Earth is a uniform sphere of radius 6371 km.  
+
a) Find the shortest distance from Boston ($$42.36010^{\circ} N, 71.05890^{\circ} W$$) to Beijing ($$39.90420^{\circ} N, 116.40740^{\circ} E$$)traveling along the Earth’s surface. Assume that the Earth is a uniform sphere of radius 6371 km.  
  
b) What fraction of the path lies within the Arctic circle (north of 66.56080^{\circ} N)?
+
b) What fraction of the path lies within the Arctic circle (north of $$66.56080^{\circ} N$$)?

2020年3月7日 (六) 18:10的最新版本

英文题目

9. (15 points)

a) Find the shortest distance from Boston ($$42.36010^{\circ} N, 71.05890^{\circ} W$$) to Beijing ($$39.90420^{\circ} N, 116.40740^{\circ} E$$)traveling along the Earth’s surface. Assume that the Earth is a uniform sphere of radius 6371 km.

b) What fraction of the path lies within the Arctic circle (north of $$66.56080^{\circ} N$$)?