The Distance from Alexandria to Syene Is About 500 Miles $\degree$

Multiple Choice

The distance from Alexandria to Syene is about 500 miles.On the summer solstice the sun is directly overhead at noon in Syene.At Alexandria on the summer solstice,the sun is 1/50th of the circumference of the sky (about 7 $\degree$ ) south of the zenith.Based on this information,what is the circumference of Earth?

A) 25,000 miles
B) 10 miles
C) 3500 miles
D) 3140 miles
E) 6480 miles