Like Markjo said. It's easy to run into a mirage or refraction with water. Anything flat can, or will, have this effect. I've seen a mirage across the 20 feet of the deck at my dad's house. Roads and gym floors probably won't follow the exact curve of the earth anyway.
Here's a 7-8 foot high (maybe 9ft, I would have to go out and measure it) rock 0.67 mile /1.07km away viewed from an elevation of about 15 inches. the opposite bank is angled from me, but directly behind the rock it's about 1.18km. I took the pictures through a spotting scope set at 30x magnification.

Here it is viewed from about 3 inches.

Last time I was messing around there with my new water proof camera, I got some pictures of it from perhaps an inch above the water. the conditions that day made for very minor waves, and a bit of refraction, as the rock was mostly visible, but compressed. I did a few from a couple feet too, but I haven't compared them yet. I'll post those tonight. That camera only has a 3x zoom.