An attacker can ‘simply’ try all possible keys and use statistics to filter out those that look like natural language.
If the encrypted text is large enough, chances are you will be left with only one plausible plaintext.
Also, AFAIK, we don’t know whether good encryption using a key much shorter than the plaintext, in the sense that an attacker can’t use statistics on the encrypted text to learn something about the key, exists at all.