Final answer:
The safest and most appropriate device to use for evacuating an injured hang glider from the top of a large mountain would be the Stokes basket. It provides stability and support and is specifically designed for rugged and uneven terrain.
Step-by-step explanation:
The safest and most appropriate device to use for evacuating an injured hang glider from the top of a large mountain would be the Stokes basket.
A Stokes basket is specifically designed for rugged and uneven terrain, making it the ideal option for transporting an injured person in such conditions. It provides stability and support and can be carried by multiple rescuers.