My home/auto agent asked me the same question - and then found the answer for me. I forget the sticker price, but it was greater than I expected. All in all, I have no idea what they wanted this info for. It is not the price it is insured for - and is not the price that they would give me if she were to be "totaled".
I took some of the advice from this forum and found an agent (Progressive) who offered "agreed value" for my trailer. I needed documentation to show the value via a bill of sale (for trailers purchased within 2 yrs) or an appraisal. I did get the run-around from Progressive. It seems not all agents/states allow for the agreed value and although FL does, two calls to the local rep offered two differing opinions - neither positive. I finally called Progressive direct and got coverage. Their road hazard is also a good value, IMO. I do not have a bill of sale, but got a copy of the price paid at my tax collector/vehicle tag office. I hope this will suffice. I called the few local RV sales businesses and could not find ONE that would provide a written appraisal. I am not ready to travel 200 miles to an AS dealer.
Wishing you luck.