Questions & Answers about Я ждал такси целый час.
Ждал is the past tense form of the verb ждать (to wait).
- ждать = infinitive, to wait
- жду = present tense, I am waiting / I wait
- ждал = past tense, I waited / was waiting
So in Я ждал такси целый час, the speaker is talking about something that already happened.