help with AC power
The most common outlets in a house are of the 15A variety. Those are the stardard outlets that you see everywhere. And the circuit breaker that limits it to 15A does that for the total of all loads connected to that circuit. Most likely the circuit you were using had no other loads when you first used it, then had some extra when the breaker opened. The other thing that will effect that problem is the outside temperature. As the temperature increases, the power required to run the a/c unit also increases so on a hot day it will draw more current.
A 20A outlet normally will have the left pin shaped like a lazy T, rather thah the slot you usually see. Very few homes have any 20A outlets unless installed for a specific load. And those most often will have only one outlet installe on the circuit.
Your dryer outlet is not the proper voltage for the RV. There are two common types of dryer outlet. If it is a three pin outlet, it is a 30A, 240V outlet and the 30A plug of an RV will not plug in due to different pin configuration. That is done to protect you from cooking all of the electrical equipment in the RV by supplying twice the normal voltage. The other type of dryer outlet is a four pin and frequently they are the same as the one used for 50A service to an RV. The difference is that the tree pin has two hot leads that are 180 degrees out of phase and so they add together to make 240V. With the four pin there are two hot leads and also a neutral lead that allows you to connect the load between one hot and neutral, thus supplying 120V to each leg of the circuit. Those are called 240/120V outlets because the voltage to the load is determined by the way that the load is connected. There is an adaptor to connect your 30A RV cord to the four pin 240/120V plug safely. In the case of all outlets, the round pin is the ground lead, provided there for safety.