Identify a faucet

Go to your local home supply store or buy one on Amazon.com. If you get an RV specific faucet, you'll pay a high price for a plastic piece of junk.
Just specify two handle, 8" spread. It will fit your RV perfectly.

Typically, quality faucets have a name or identifier on them. I can see from the one picture it appears that the cold water valve handle has broken on the valve stem. If you want to replace just the handle, American Standard makes a similar style handle.
You may wish to just replace the whole faucet set as the cheaper ones seem to last only a few years until leaking and seal failures start. It is a very easy project to accomplish.

for 39.00 I replaced mine from home depot

Look on the aerator, often it has the brand. You might also look on the flexible feed line under the sink, faucet makers often wrap a sticker around the feed line with name and model number.

Looks like a Dura faucet. Dura faucet
You are aware that any 8 inch faucet will work. RV faucets are not of the best quality and hard to get parts for.

Is it just one of the valves leaking?? Take the pictures to a local Loews, HD, meynards, or whatever is there. About how old is it??