At which latitude is the distance around the world one-half of the equatorial distance?

latitudinal distance factor of cosine of latitude. equatorial distance latitudinal distance @ latitude 0 (since equator = latitude 0). cos 0 = 1. (1 here equatorial distance.)
now, latitudinal distance one-half of equatorial distance, need apply above rule inversely, in other words, should use arccos. (on calculator, arccos function shown "cos-1") math expression goes this:

cos y = 0.5
y = arccos 0.5 (and then, after using calculator/computer,)
y = 60

so, answer 60 degree latitude.
of pole, latitude 90 degree, cos 90 = 0, way.

at latitude distance around world one-half of equatorial distance?

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