I don't think you mean a great circle here, since both poles are at the same latitude.
at latitude θ, the radius is R cosθ
so the distance is just an arc, with length
s = R cos36° * 70/180 * π
so now look up the earth's radius R, and crank it out.
Two poles A and B are at (36°N, 125°W) and (36°N, 55°E) Calculate the distance along the Great circle to the nearest Kilometers.
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