Well, he is standing still, the camera is stationary. For just that last segment, it is easy to answer "how did he do it?" Write out his remarks, rehearse with a timer, then figure out at what point in the countdown to begin speaking.
The main thing is that he has say basically one sentence right in a single take, but he is a seasoned television announcer, so that in itself is not too surprising.
The much longer segment, including walking with a moving camera at exactly the right timing, would have been much harder to get in a single take. (Not to mention that that Saturn V lying on its side is probably not even in the same location.)
Yes and no. The Saturn V he walks past was on it's side next to the Vehicle Assembly Building, which is close to launch complex 41 from which the Voyager missions launched.
But I think it's about 120 degrees to the left from where they shot the shot of Burke walking. They absolutely had to set up a different shot to get Burke and the Titan III in the same shot.
As an aside... That Saturn V is no longer at that location. Several years ago they moved it a mile to the north and built a building around it to create the Apollo / Saturn V center. Or at least I think it's the same artefact.
The main thing is that he has say basically one sentence right in a single take, but he is a seasoned television announcer, so that in itself is not too surprising.
The much longer segment, including walking with a moving camera at exactly the right timing, would have been much harder to get in a single take. (Not to mention that that Saturn V lying on its side is probably not even in the same location.)