1. opposite side; other side
ドアの向こうからはなんの返事もない。There's no answer from the other side of the door.
2. over there; ahead; beyond; (in the) distance; far away; far off
向こうでみんなと待ってろって言っただろ。I told you to wait over there with everyone.
3. destination; there (somewhere distant, esp. abroad)
それは向こうの文化で日本ではしないでしょ。That's their culture over there; we don't do that in Japan, right?
4. the other party; the other side
電話が、向こうから切られる。The phone is hung up from the other end.
5. from now; next (e.g. two weeks); coming ...; from ... onwards