1To wait — to remain in a place or delay action until a person or event arrives or occurs.
駅で友達が来るのを一時間待った。
I waited an hour at the station for my friend to arrive.
バスが来るまでここで待っていてください。
Please wait here until the bus comes.
電車の遅延で長く待たされた。
I was kept waiting a long time because the train was delayed.
2To await; to look forward to; to anticipate — to expect something with pleasure or interest.
夏休みをずっと待っていた。
I've been looking forward to summer vacation the whole time.
新作映画の公開を楽しみに待っている。
I'm eagerly awaiting the release of the new movie.
次のシーズンの開幕を待つファンが多い。
Many fans are waiting for the start of the next season.
3To depend on or count on (usually appears in negative expressions, e.g. 'there's no point in waiting/depending on X').
彼に任せて待つわけにはいかない。自分で動かなければ。
I can't just leave it to him and wait. I have to act myself.
外部の支援を当てに待つことはできないから、自分たちで解決策を考えよう。
We can't just rely on outside help and wait, so let's come up with a solution ourselves.