Final answer:
Option 3: Cave-ins. The greatest hazard facing a worker while working in a trench is cave-ins, which can lead to serious injuries or even death.
Step-by-step explanation:
The greatest hazard facing a worker while working in a trench is cave-ins. Trenches can collapse suddenly, burying workers under tons of soil and debris. This can lead to serious injuries or even death. To prevent cave-ins, workers should follow safety guidelines such as shoring up the trench walls, using protective systems like trench boxes or shields, and ensuring proper inspection and maintenance of the trench.