[0] The Kármán line, where aerodynamics are less important than orbital dynamics, is only 100 km up.
[1] You're always falling. The trick is to go sideways so fast you keep missing the ground.
Incredibly difficult heights to achieve are very frequently quite commonplace distances to cover. It's weird, but it's just part of living on a planet dominated by gravity.
Here you go: https://youtube.com/watch?v=n_cHSx7VM18
Statements like this always cause me to reflect on the breathtaking achievements in powered flight over the past 100 years.
> Getting to space is easy. It's not, like, something you could do in your car, but it's not a huge challenge. You could get a person to space with a small sounding rocket the size of a telephone pole. The X-15 aircraft reached space just by going fast and then steering up.
> But getting to space is easy. The problem is staying there. [...] To avoid falling back into the atmosphere, you have to go sideways really, really fast.
This image accompanies the above excerpt: https://what-if.xkcd.com/imgs/a/58/orbit_x15.png