Question

If you stood atop a ladder that was so tall that you were twice as far from Earth's center, how would your weight compare with its present value?

Answer 1

since F ∝ 1/r^2, 1/(2r)^2 = 1/4 * 1/r^2, so the pull would be 1/4 as much.

Of course, that ignores the tremendous torque on the ladder caused by the earth's spin! :-)