if you slice the top off a sphere at latitude θ, then the radius of that smaller circle is R cosθ, where R is the radius at the equator.
Now just calculate the arc length between the longitudes, using that radius
X is a point on latitude 28.6°N and longitude 105.7°W. Y is on the same latitude as X but lies on longitude 34.3°E. calculate the distance between X and Y along latitude 28.6°N. (Assume that the earth is a sphere of radius 6370km)?
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