You'll need to make your way through about 60% of the main story to have all 3 of the main bridges lowered. Once these bridges are lowered, you'll need to either upgrade your Batsuit to have
Grapnel Boost MK IV or your Batmobile to have
Super Eject Level 2, and then make your way to the Penitence Bridge. For this method we'll be travelling under the Penitence Bridge, then the Mercy Bridge and lastly the Perdition Bridge.
Start off on the ground level and use your Grapnel (or Super Eject) to go towards the high wire that lines the top of the bridge, going on the outside in order to go under and then towards the other bridges. At the very height of your jump, begin your dive towards the water, and pull up as you come out of it. You will now be pulling up for the rest of your flight! You will now need to work with a pattern between diving towards the water and then releasing and gaining most of your height back. Each time you do this, you will lose a little from your maximum glide height, but you will have enough to make it under all 3 bridges.
A key part to successfully completing this is timing your dives and glides to go over the 2nd bridge first, loop around and then dive under it. If done correctly you get very close to the water, and pull up a lot of height after coming out from under the 2nd bridge. Continue to previous pattern all the way to the 3rd bridge, and the trophy will unlock once you pass under it!