This page explains how to find the Kam Urog shrine and solve the "Trial of Passage" puzzle.
How to Find the Shrine
This shrine is in the Hateno Region. Go to Ha Dahamar Shrine, and go east on the road in this area. You will reach Fort Hateno. Look for the cabin in the forest. You will find Doctor Calip in or near the cabin. Talk to him to get a shrine quest, with a hint for finding the shrine.
Check on a fire and sit until night. Then go east along the road that goes through Fort Hateno. Look for a path going northwest. Go to the end of that path and you will find many statues. At night, one of the statues will have glowing eyes. Shoot it with an arrow to make this shrine appear.
How to Solve the Shrine
Go straight ahead and enter the rotating area, but watch out for rolling spiked spheres. You can use Magnesis to remove them. Stand on the left side of the rotating area such that the rotating platform will be under you. When you can, float to the treasure chest in the opening in the wall. It contains an opal.
Then turn around and wait for the platforms to rotate such that you can float onto the rotating platform that has a treasure chest on it. Open it to get a Soldier's Spear.
Then stay on this platform as it rotates, standing on the side of the treasure chest as necessary to avoid falling off. When the platform rotates so that you are standing on the stairs, go up the stairs to the archway at the top.
From there, you can go up and talk to Kam Urog to get the Spirit Orb.