Final answer:
Consoling a friend whose grandmother has died with a hug is using emotional distance.
Step-by-step explanation:
The type of distance that is being used when consoling a friend whose grandmother has died with a hug is emotional distance. Emotional distance refers to the closeness or intimacy in a relationship, and consoling someone with a hug requires a level of emotional connection and empathy. It is a way to physically express support and comfort during a difficult time.