Answer:
A hotel because hotel doesn't start with a vowel and to use an you have to have a word starting with a vowel after it
Such as... an animal or an airplane
Strictly speaking, there is nothing wrong with saying "an hotel". Being an older form of English, it is still a perfectly acceptable form of grammar, just as people may say "from an historical point of view", for instance. There are situations when it is perfectly acceptable to place the word "an" in front of another word beginning with "h".