Apogek Shrine is located southeast of East Reservoir Lake at Zora's Domain, on Ja'Abu Ridge.
Shrine Location
Apogek Shrine is located at 3889, -0220, 0163, on Ja'Abu Ridge in the Lanayru Great Spring area, southeast of East Reservoir Lake at Zora's Domain.
Wings on the Wind
Go to the left to find a wing sitting on the edge of the ledge. Take it and set it flat on the ground near the small orb. Attach the orb to the wing, then place the wing on the rails so that it is pointing at the gate across the gap. Stand on the wing before it slides away (or you can glide to where it went). The wing will slide down and land near the floor switch on the other side. Go to where it landed, detach the orb, and place the orb in the floor switch.
Stand on one of the active fans and jump up and use the paraglider to glide up on the wind from the fan. Then use Ultrahand to take the fan that you glided up from, and place it next to the ledge against the left wall, where there is a treasure chest. Glide up on the wind from the fan to reach the chest, which contains a Zonaite Spear.
Then take one of the wings in this area, or go to the wing that is on the ground near the wall on the right. Take the four fans from the floor and attach them to the back of the wing. Then place the wing on a rail, and stand on the middle or tail of it and hit it to activate the fans. The fans will allow the wing to reach the end of the shrine. Check on the dragon ring to get a Light of Blessing and complete the shrine.