In my last truck I had an inverter about that capacity permanently mounted in a storage space in the bed. Had a regular light switch, & an AC outlet at the back of the truck. Used 2/0 Welding cable to power it off of 4 Delco voyager batts in the truck.
Was a really handy setup, although like the guys have mentioned it pulls a LOT of juice. If you hooked up a refrigerator up at night, the batts would be dead in the morning. It also takes a lonnng time to get 4 batts recharged too.
Running a small 5k size window Air conditioner would run about 4-5 hrs until brownout. Had to wire up some relays to release the on/off ckt when the voltage dropped to keep from burning things up when the batts were dying.
It was very nice for short-time apps, like running a power drill for projects etc.
Not practical for a refridge, or A/C unit.
Also, be very careful of the Modified sine-wave output. It is not compatible with all electronic devices. For example, it fried the power supply in a ham radio amplifier. It puts lines in the TV that I used. It almost burned up a paper shredder that we had hooked up to an office backup ckt that was running off of it for a few hrs (got very hot & smelled like it was burning up). It was pretty cool to be able to supply power from my truck in the parking lot though. Kinda felt like Mcguyver.
Like the guys say, if your going to spend the money, Id also go for a honda EU series generator. Ive since done the same thing, and like the generator (eu3k). It also puts out very clean power. The only drawback, is the noise factor. The inverter was silent.
If you are really set on going with the inverter, consider spending the extra money for a "Full sine-wave" output type. You will have alot less problem in the end run. Also a set of Trojan L-16 6v batts would power it nicely (if you can find a place to put them).