After finishing Zone 4 and defeating Dr. N. Gin you will receive a bazooka you can use by holding
and fire by pressing
. Head back to Level 9: Tomb Time (in Zone 2).
When the level starts, you'll be outside with a snake and facing a building with Neo Cortex's face ala sphinx above the door. Kill the snake, pull up your bazooka and shoot at the sphinx face. Hit the right area and you'll be awarded a life or two and this trophy will pop.
Video credit: PowerPyx