There are several things going on in that video. One is computer vision to recognize location. That alone is non-trivial, and, fortunately, it doesn't look like that's what you're trying to do, based on your Fritzing diagram. There's logic there to control the rocket's landing location, which is based on an internal map it has, the flight plan that is set, and the results of the computer vision process that determines where the rocket actually is at a given moment. That code would then direct the rocket to change its location however it should be done for that rocket. It looks like nozzle deflection which is yet another non-trivial thing in model rocketry (as I understand it.)
To simplify all of that, I think (again, going by your Fritzing diagram) that you're looking to control something based on a distance measurement.
It also seems like English isn't your first language, so that may be confusing things a little.
The Raspberry Pi doesn't have analog input; is that why you're using the Arduino?
If so, you need to write a sketch on the Arduino that reads the analog value from the sensor and sends it to the Pi digitally. Serial, SPI, I2C, or your own digital protocol will all work there. Explaining how to do that is kind of outside the scope of the help this forum is meant to provide.
On the ParticleBerry Pi side, you'll need to read that value coming in on whatever interface you've chosen, then make decisions and control whatever you're going to control based on that data.
Does this help? I hope it helps, because that's about all I can offer.
I guess another thing to mention would be that a Particle Photon would probably be a better choice for this application, because it has analog input and you can really tighten down the feedback loop when you're only using a single microcontroller to do the sensing and the control. With two microcontrollers, you're going to have communication latency which could cause issues depending on how good of a developer you are.