Would you sacrifice a life to save ten?

[Reasonable]

If you mean would I issue and order in a situation like that, then yes I would. I'm assuming, given the context, that you're asking whether I as the chief would order one of my firemen to enter a building to save 10 but probably give his life in the process.

A similar analogy would be a combat situation - where an officer orders men to perform an action with a favourable outcome - taking out 10 enemy soldiers, at the loss of their life.

So yes, if I was in the senior position, and I felt I was within acceptable bounds of asking my men to do their job, I would - even if it meant the loss of their life.