In English, "high" can signify, "tall", "high (on a hill), or "high" (in price). Does "hoch" translate to all of these connotations?
No, "high [up/on a hill] are not meant. In those cases, you would say "Das Haus liegt hoch." or "Das Haus ist hoch gelegen." - "The house is [located/situated] high up."
just a question in german does high mean drunk as it does in english or is there another word for that?
Interesting question. Italian in this case is similar to English. When one has been drinking too much (but not yet drunk) you use the word "alticcio" which derives from "alto" (high) and means "rather high" , "a little high"
High can mean drunk on alcohol in certain cultures/dialects of English.
Native English speaker here who has lived in both the UK and North America. I have never heard or seen the word high used to describe someone who is drunk.
In Brazilian Portuguese too. The words "alto" and "altinho" (its diminutive form) may be used for a person who has drunk and is already altered, but not really that drunk.
The idiom for drunk in German is "blau."
No, but they are similar and I wouldn't be surprised to find them together in the thesaurus. "Hoch" generally will mean high, tall or up. Whilst "Groß" is more broad and can mean big, tall, large, great or many.
But tall is not usually used for houses, at least where I come from, although it can be used for other objects like a tall tree or a tall cupboard for example.
Couldn't it just have said 'Das haus ist Groß' I mean i get you could mean tall to be more specific but then wouldn't the girl is tall be 'Das Mädchen ist hoch.'