To determine the correct type of shoring used when a building requires temporary support due to adjacent excavation, we need to understand the different types of shoring methods:

• Flying Shoring: This is used to support two parallel walls that may not be supporting each other. It uses horizontal members connected across the walls.
• Dead Shoring: This method provides vertical support to a structure when the lower part of a wall or a certain section needs alteration.
• Raking Shoring: This method provides inclined support to walls. It is specifically designed to support a structure (usually retaining walls) from the outside when there is excavation nearby, preventing the collapse of walls and ensuring stability during construction work.
• Underpinning: This is a process used to strengthen the foundation of an existing building or other structure.

The correct answer to the question is Raking Shoring. This type of shoring is used when there is a need to temporarily support a building structure due to excavation nearby, typically by providing inclined struts or braces that transfer the load away from the structure to a stable substrate.

Conclusion: Among the provided options, Raking Shoring is the most suitable method for temporary support due to nearby excavation.