How do I figure out the totally airborne height for a given machine? Technically "airborne" can just mean to move through the air, but I would like to know how high you have to be before you are entirely supported by air in a helicopter-like machine, as opposed to benefiting from the reaction from the earth (or whatever platform you are taking flight from). I am effectively asking for an equation that will tell me how high I have to be before the effect demonstrated in the following image is effectively zero.

I assume that this has something to do with mass, but am unclear on how to proceed beyond that.
 A: I wasn't able to find a well-sourced table, but this page has a chart that shows a helicopter has almost zero ground effect advantage when hovering at a height greater than 1.25 times the rotor diameter.
That fits well with this page from a testing company that states that ground effect on a fixed wing craft reduces drag by only 1.7% when at an altitude equal to the length of the wing.  The reduction is much greater when the wing is closer to the ground.
A: The effect is never zero, unless you happen to stop producing lift.
Lift is produced by air being continuously pushed downwards. This downward motion continues for several minutes, but is dissipated eventually. But in all cases the motion produces a pressure increase on the ground underneath. This is clearly audible for aircraft flying at supersonic speeds, because then the pressure change will not spread ahead of the aircraft. For subsonic aircraft, the pressure change is much more gradual and widely spread, but still there nonetheless.
To answer your question: Eventually, the aircraft is always supported by the earth.
Maybe you know the question about the closed truck full of birds. Someone bangs at the outside, so all birds fly up. Will the truck be lighter? Same story: The truck will not change weight, because now the air transmits the weight of the birds into its structure.
A: The usual rule of thumb in flying is that ground effect starts to appear within about one wingspan of the ground. av8n always has a good intuitive explanation.
He explains it as a mirror-image aircraft beneath you.
In flight training, it becomes important in soft-field takeoffs, where you transfer weight to the wings at as slow an airspeed as possible and get into ground effect.
Then you accelerate to climb speed.
Aside:
In Lindbergh's flight from New York to Paris, at times he made use of ground effect to save fuel.
At a height above the water of 30 feet, more or less, its height is automatically stable, and it just putts along at low power like a sewing machine.
A: The ground effect is only present in winged craft because in a flight with wings there is a much high pressure under the wings when closer to the ground this increases the normal lift effect. In propeller lifted craft the effect still applies because the propellers are just air foils twisted ,but they are also smaller which means less surface area to have an effect on.  The smaller the surface area the close to the ground they have to be and Most craft like helicopters have there propellers on top of the craft for stability thus making to far away from the ground to have the ground effect apply. Also you should check out back spin lift driven craft.     
