Further than you’d think, apparently. Given a basketball (to represent Earth) and a tennis ball (the Moon), most people guess within an arm’s length, which in reality is close enough to send Luna plummeting into the Pacific. Others take a few steps back, which is warmer but still close enough to put some cataclysmic stress on the Equator.
In truth, the distance from the Earth to the Moon at this scale is roughly 17.5 feet, which from Mars looks a little something like this: