Question

Question #b36c5

Answer 1

It all boils down to `E_g=m*g*h`
`m`=mass, `g`=gravitational acceleration, `h`=height.

Explanation:

If the height `h` is small enough in relation to the diameter of the earth, we may assume `g` to be constant at `g=9.8m//s^2`
(actually, `g` varies a tiny bit over the planet, second decimal)

Now we fill in what we know:
`E_g=m*g*h->`
`8.2*10^3=69*9.8*h->`
`h=8200/(69*9.8)~~12m`