Question 457671
New York and Los Angeles are 2450 mi. apart.
 Find the angle that the arc between these two cities subtends at the center of the earth.
 (radius of the earth is 3960 mi.)
:
Let A = the angle of the arc
:
The relationship of the distance between the cities to the circumference of the earth, equal the relationship of the angle to 360 degrees
:
{{{2450/(2*pi*3960)}}} = {{{A/360}}}
:
{{{2450/24881.4}}} = {{{A/360}}}
Cross multiply
24881.4A = 2450*360
:
A = {{{882000/24881.4}}}
A = 35.448 degrees