Think of it this way: distance in time is like distance in space. It's just another dimension (with the catch that apparently we can't actually move backward). The dinosaurs are as far from us as Alpha Centauri, maybe further.
This is a reasonable way of looking at time for certain purposes, and the conversion factor is c. So, 65 million years "ago" is also 65 million light-years "away" in the -t direction.