What does the person and their horse do at solute in a shows?

It seems you're asking about what happens at "solute" in horse shows. I believe you meant to say "a show" or "in the show".

What happens at a horse show depends on the specific discipline:

Dressage:

* Rider and horse perform a pre-determined series of movements like walk, trot, canter, collected gaits, and more complex movements.

* Judges score the horse and rider on their accuracy, precision, and artistry.

* Higher scores win.

Jumping:

* Rider and horse navigate a course of obstacles called fences.

* Horses must jump the fences without knocking them down.

* Faster times and fewer faults (knocked-down fences) win.

* Different jumping classes exist: show jumping, hunter classes, equitation classes, etc., each with different rules and styles.

Western Disciplines:

* Variety of events: reining, cutting, barrel racing, pole bending, and more.

* Each event involves a specific set of skills and maneuvers.

* Judges score the horse and rider on their ability to perform the maneuvers.

* Higher scores win.

General Horse Show Events:

* Horse and rider often perform in a designated arena or ring.

* Horse and rider are judged based on their appearance, performance, and obedience.

* Judges score the horse and rider on various criteria depending on the discipline.

* Awards and prizes are given to the winning horse and rider.

In addition to specific events, other common aspects of horse shows include:

* Warm-up area: Riders prepare their horses for the show ring.

* Grooming and tacking: Riders make sure their horses are clean and properly fitted with tack (saddle, bridle, etc.).

* Spectators: People watch the events and cheer on their favorite riders.

* Vendors: Businesses sell horse-related products and services.

If you could specify the discipline of horse show you are interested in, I could provide more detailed information about what happens at the show.