The first time you can go for this achievement is right after the plane crash. If you miss, you can reload the checkpoint. You will have to watch at least half of the cut scene like shown in the video or he will not throw the dynamite.
Do not run near the ramp on the other side of the enemy. You may trigger a checkpoint and will have to go for this later. It's easier to wait, but this is for people who want to knock this out right away.
*Game DVR does not catch achievement pops, but that's when I unlocked it.