This page explains how to find the Ze Kasho shrine and solve the "Ze Kasho Apparatus" puzzle.
How to Reach the Shrine
Warp to Lanayru Tower, then go to Soh Kofi Shrine, which is just north of Lanayru Tower. From there, go north over the hill to reach the path. Go northeast along the path. When the path splits, go left. The shrine will be on the left, across from the stable.
How to Solve the Shrine
Examine the spinning apparatus, then tilt to the left, then up, then right, then gently tilt it so the platform is flat. This will move the spikes out of the way so you can walk through the middle to reach the next area.
In the next area, there are lasers blocking the path. Hit the crystal switch to make the blocks rotate. While they are rotating, they block the lasers, so run to the middle of the area while the lasers are blocked. Then turn around and hit the crystal switch with an arrow to make the blocks rotate again, and go farther toward the other end of the room. If you want the nearby treasure chest, hit the crystal switch again and jump onto the platform that spins near the door to the next area. When it stops rotating, float from it to the treasure chest. It contains a Silverscale Spear. Then float back to where you just were and go through the doorway to the next area.
Follow the path to the next area to find another rotating apparatus. Examine it, then tilt it so the three orbs land on the three switches. When all three switches are pushed at the same time, the door to Ze Kasho will open. Go in and check on Ze Kasho to get the Spirit Orb.