starting standards when playing behind an aggressive player?

Last night, I played $0.50/1 limit and was behind a really aggressive player. He would raise any ace, any pair, suited Kings and connected face cards. I am new to the game and generally follow the advice to respect raises and tighten your starting requirements when the pot is raised to you but this premise is based on the idea that your opponent has indicated he has a strong hand.

When observation tells you his raise indicates he probably has a low pair or Ace-rag what is the best way to handle this? Lower your calling standards, respect the raise and play 10-15% of your hands, find another table, something else?