Definition of that determiner from the Oxford Advanced American Dictionary

      

    that

     determiner
    determiner
    NAmE//ðæt//
     
    (pl. those
    NAmE//ðoʊz//
     
    )
     
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  1. 1used for referring to a person or thing that is not near the speaker or as near to the speaker as another Look at that man over there. How much are those apples at the back?
  2. 2used for referring to someone or something that has already been mentioned or is already known about I was living with my parents at that time. That incident changed their lives. Have you forgotten about that money I lent you last week? That dress of hers is too short.
See the Oxford Advanced Learner's Dictionary entry: that