Ze Kasho Shrine
The shrine is located just to the west of the South Akkala Stable, directly north of the Akkala Span bridge.
Given the chance that the player enters Akkala from the mountains of Lanayru bearing north from the waterfalls (since climbing said mountains is done through the waterfalls in Lanayru using the Zora Armor), there's a significant possibility that both this shrine and the stable will be overlooked because they'll be completely hidden from sight by the Akkala Citadel Ruins, as they're on the opposite side of said citadel.
As the Citadel Ruins are heavily guarded, the Travel Gate of the Ze Kasho Shrine is the intended alternative to the Akkala Tower. However, other shrines offer better and quicker access to landmarks in Akkala (which are more concentrated on the north and west areas of the region), and the shrine's travel gate doesn't provide the wide vantage point of the Tower itself.
Ze Kasho Apparatus
Interact with the terminal and tilt the controller to move the spikes. The spikes will only slide in the direction of the lines. There are many solutions, but clear a path so that Link can run across the gap.
In the second area, hit the switch to rotate the blocks. The lasers will be blocked off temporarily until the blocks finish moving. For the second set of lasers, Link can either drop a Remote Bomb or shoot an Arrow. Alternative, Link can just use Stasis on the lasers to freeze them temporarily, allowing him to run by.
At the end of the room on the right side there is a treasure chest on the platform. In addition to the rotating blocks that blocked the lasers, there is a cube platform that circles the area here by 180 degrees every time the crystal is hit. The idea is that when the cube platform is below the platform, hit the crystal, then jump on and climb the cube platform as it finishes moving until it is directly above the platform. From there, Link can glide over and open the chest, which contain items such as a Zora Spear.
The final puzzle requires the use of motion controls. The solution requires Link to move the controller until there is a single Ancient Orb landing on each switch. There is no easy way to do this. The top middle platform can be used to divide balls. You can use stasis on the balls and shoot them with arrows. Just keep at it until all the balls are on the platforms. Once done correctly, the nearby door will open up. Run ahead and speak with Ze Kasho to get the Spirit Orb.
Alternatively, use Stasis to freeze the lasers. Hit the switch with an Arrow. Glide to the chest to get a Zora Spear. Position the Ancient Orbs into the proper slots.