Ree Dahee Shrine
You will see what looks like a huge network of switches, ramps, and glowing orange balls for this shrine. Stepping on switches will activate certain platforms, and we will be using this to our advantage to complete the trial.
Step on the switch right in front of you and you will see that one of the platforms will tilt, becoming a ramp. The orange ball will dislodge and roll down it, settling into a hollow that will then glow blue. A moving platform will then be released, allowing you to proceed forward.
The next switch will also get a ball rolling, but if you simply stand on it, the ball will roll right off the platform. You will need to step off the switch at the right moment so that the ball can settle into its proper hollow. Cross the moving platform and let's tackle this next puzzle.
This time, the platform that will tilt still leaves a gap between it and the ball's target. To remedy this, step off the switch at the right time such that the platform tilts back and the ball's momentum will send it flying through the air. Never thought you'd need to remember parabolas, huh?
You can probably see a treasure chest to your left in a seemingly unreachable spot. If you can somehow hold down the switch, then the platform will be tilted at an angle such that you can reach the ledge. To do this, use Magnesis to move one of the metal barrels below you to the switch. You will need to push Magnesis to the farthest it can go!
The platform you are standing on will tilt and make the treasure chest accessible. Open it for a Climber's Bandana. This is incredibly useful, letting you get more bang for your buck when it comes to climbing. Equip it now! Now to get to the monk you will need to remove the barrel. You can use Magnesis again, but if you cannot reach then Paraglide from the topmost point of the ramp you are on and move the barrel yourself. Then ride the moving platform back and claim your Spirit Orb.