Question

How far above the surface of the Earth would your weight be the same as it would on the surface of the Moon?

Answer 1

since g = GM/r^2,
if the moon has 1/6 the gravity, then you will need to be √6 times the earth radius away from the center of the earth.

That is, (√6-1)R above the surface.

Answer 2

What if
rEarth = 6737
rMoon = 6757
mEarth = 5.972×10^24 kg
mMoon = 7.3×10^22 kg