SOLUTION: Pikeville, KY (latitude 37.480 degrees north) and Alma, GA (31.530 degrees north) both lies at longitude 82.520 degrees west. How far apart are the two cities? (assume the earth ha

Question 459674: Pikeville, KY (latitude 37.480 degrees north) and Alma, GA (31.530 degrees north) both lies at longitude 82.520 degrees west. How far apart are the two cities? (assume the earth has a radius of 4000 miles)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Pikeville, KY (latitude 37.480 degrees north) and Alma, GA (31.530 degrees north) both lies at longitude 82.520 degrees west. How far apart are the two cities? (assume the earth has a radius of 4000 miles)
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Since the longitudes are the same, they lie on a great circle with a radius of 4000 miles.
d = the circumference time the angle/360
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d = 2*pi*4000*(37.48 - 31.53)/360
= 200*pi*5.95/9 miles
=~ 415.39 miles

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