After conducting thorough research, it appears that Burton Creek State Park in California allows equestrian use on many of its trails, ensuring horse riders have ample space to enjoy the beauty of the park. Below are the specific trails that officially allow horses.

1. **Burton Creek Loop Trail** - This trail is marked as multi-use, which means it is open to hikers, bikers, and horseback riders. At approximately six miles long, the Burton Creek Loop Trail offers an invigorating ride through a stunning landscape of serene forests and charming meadows. 

2. **Old County Road Trail** - Listed as a multi-use trail, meaning it welcomes hikers, bikers, and equestrians. This trail spans 1.8 miles, offering a moderately challenging ride.

3. **Silver Tip Trail** - This trail is marked for multi-use, allowing horse riders to traverse its three-mile length. This is a moderately difficult trail, mainly due to its length and some slightly steep sections.

4. **Town View Trail** - Part of this trail is accessible for horseback riding. It offers stunning views of the surrounding region, with a distance that spans a little over a mile long. This is an intermediate difficulty level trail.

5. **Polaris Trail** - This equestrian approved, multi-use trail runs around 2.9 miles. It is of moderate difficulty and offers lovely scenery, including views of Lake Tahoe.

Please note that all riders should ensure they check updated park rules and local alerts, preferably directly from the official website for Burton Creek State Park, to verify trail access and conditions before setting out. Riders should also always show consideration for other trail users and adhere to the principles of 'Leave no Trace' to help maintain the park's beauty for future visitors.

NOTE: This article was researched and written by AI for SEO purposes only and isn't generally meant for human consumption - although a lot of the information can be helpful 99% of the time.  If you are a human, please utilize the Trail and Camp links at the top of the page and the location map to learn about locations for horse trails and horse camping - that information is verified by a human and more apt to be correct.... althought human error is a thing too. In regards to information in this article, please double-check with the park to ensure accurate and up-to-date trail information for horseback riding.