Look at the tire/weight/loading sticker, which should be inside your tow vehicle's driver's door jamb. It will include important things like the vehicle's GVWR ("Gross Vehicle Weight Rating": The most the tow vehicle can weigh after loading it up, including passengers, cargo, fuel, etc.). It will also have GAWR ("Gross Axle Weight Rating") figures for front and rear.
Keep in mind that "dry weight" refers to the weight of a trailer *before* adding things like cargo (clothes, sleeping bags, kitchen gear) and other supplies (food, propane, water in the tanks). So the "dry weight" is lowest weight the trailer will ever be; it will always weigh more when you add your gear. Camping trailers often make it easy to put more stuff inside, which is a problem when you're trying to fit within a weight rating.
There are many discussions on this forum about weight concerns and towing; I won't try to repeat them here.