There are 156 billboards scattered all across Fairhaven. There should be at least a couple where you can get the distance required.
First, you'll want to have a car that's light, and has decent acceleration & top speed. Try to win a few events and earn upgrades for your car. I have long gears and Power Shot nitrous.
Find The Beltway shown in the minimap above. There's a giant structure of two glass rings with billboards on each one. Give yourself plenty of room to gain speed starting from Gunderson Avenue South. When you get close to the billboard, hit the nitrous. When you land, it'll tell you the distance you jumped. I hit around 130 MPH on my run and that was enough for the achievement.
You can't get it if you crash, but on my run in the video below, I think my wheels touched the ground before hitting the wall, so that's why it unlocked for me.