Still pretty small at 3 miles. So the idea is that the arch will look maybe 16-18 inches tall relative to something that appears to be 5-6 feet tall. I can play with the earth views and figure out what kind of distance is involved. Then it’s a question of a full sized statue or something smaller but still proportional to the arch. I was just guessing at the 3 miles, it’s pretty far east of the river. For a full size statue it would need to be pretty close to keep the apparent proportions right.
Here’s a view one mile northeast of the Arch.
And here’s fromtwo miles.
At two miles, the light tower appears to be about three times the height of the Arch, roughly what you’re looking for. The Illinois Department of Transportation specifies that that a highway interchange lighting pole will be 30’ - 50’ tall, so just get yourself a lighting tower and put a mallet head around the base.
Spoken like a man who’s never seen East St. Louis. 
Other than an almost-dead coal-loading terminal and a casino boat, the IL side of the river across from St. Louis is a deceased industrial wasteland that floods whenever the river gets a bit more full than normal.
High-end real estate it ain’t.
If you want the guy look right from any/every point of view, rather than just from one privileged spot, he needs to be full-sized proportionally. e.g. if a real croquet wicket is 1 foot tall and the Arch is 630 feet tall, a statue of a 6 foot man needs to be 6 * 630 = 3780 feet tall. And assuming a croquet ball is 4" =1/3 foot in diameter, his ball needs to be 630 / 3 = 210 feet in diameter.
And if you want the ball to be 5 scale “feet” from the wicket (a reasonable distance in croquet), and the man is addressing the ball from maybe a scale foot further back, the ball will be 5 * 630 = 3150 feet (or 0.6 miles) back from the Arch. And he’ll be standing (5+1) * 630 = 3780 feet (or 0.75 miles) back from the Arch.
Or you could save a lot of money and just assemble a man-model about the size of a GI Joe toy & hold it up close to your camera with the Arch in the distance behind.
Use one of those little cast plastic olive drab green Army men from when we were kids and it’ll be especially easy. I recommend the minesweeper guy; he looks sorta like he’s waving a mallet.
Late add: At those sizes you’ll need to add something else to your Kickstarter grant request.
The logical spot on the east side of the river is pretty well aligned with the runways at Lambert. So the FAA will demand you either pay to build the city a new airport, or the **Colossus of Sauget **will never be approved. Even if you offer to put double the usual number of blinky red lights on it and make frickin’ laser beams come out of his eyes and ears.
Moderator Action
This thread was originally intended to only be about the math involved. Since that seems to be pretty well answered, and folks are starting to comment on the kickstarter effort here as well (which is turning this into a duplicate thread) I think it is best to close this thread and direct all further comments to the thread in MPSIMS, which may be found here: