SOLUTION: Assuming that Earth is a sphere of radius 6378 kilometers, what is the difference in the latitudes of Lynchburg, Virginia, and Myrtle Beach, South Carolina, where Lynchburg is abou

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Question 1138656: Assuming that Earth is a sphere of radius 6378 kilometers, what is the difference in the latitudes of Lynchburg, Virginia, and Myrtle Beach, South Carolina, where Lynchburg is about 400 kilometers due north of Myrtle Beach?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the difference of latitudes (the larger minus the smaller), in degrees.


Then


    R%2A%28x%2A%28pi%2F180%29%29 = 400,


where R is the Earth radius of 6378 kilometers.


It gives


    x = %28400%2A180%29%2F%28pi%2AR%29 = %28400%2A180%29%2F%283.14%2A6378%29 = 3.595 degrees.   ANSWER  



CHECK.  Lynchburg, Virginia,latitude is           37.4138° N

        Myrtle Beach, South Carolina latitude is  33.6891° N

        The difference of latitudes is             3.725°