Question

Using 6400 km as the radius of Earth, calculate how high above Earth's surface you would have to be in order to weigh 1/16th of your current weight.

Answer 1

Have you drawn a diagram of the problem?

Answer 2

you know Weight = mg

and now you want to weigh 1/16th.. so its obvious that g --> g/16.

So your new question is at what height is g --> 1/16 th of the g on the surface. ya?