Another question then arises. If the amplifier is located 6' from the antenna then you are definitely using it outside. Is the distribution amp outdoor rated and can you safely run power to it without the risk of electrocution? Probably not. If this is a plug in distribution amp then we are talking about 120 volts of AC power sitting on the antenna mast. It would be safer to install a mast mounted preamp such as this http://www.solidsignal.com/pview.asp?mc=03&p=CM-7777&d=Channel-Master-Titan2-TV-Antenna-Preamp-w-Power-Supply(CM7777)&c=Pre-Amplifiers&sku=02057207774. It's injector is usually plugged in safely inside your home but since the antenna feed needs to move on to the satellite dish that's not likely possible. You could place the power injector just before the splitter if there is a weather protected GFCI outlet available nearby.
Yes, it is an indoor amp, but my antenna is now mounted to a shed where I park my tractor. I can mount it under the roof, and the building has electrical outlets. I may have to use a little longer cable from the antenna to the amp though (maybe 10 ft or so). I'll probably need a ground block too. I have another pre-amp/amplifier combo, but the pre-amp draws power from the amp, and running both before the cable goes into the diplexer would probably cause an overload. If it doesn't work, I'll buy a single pole mounted pre-amp.