The aircraft carrier

You lasso him with your rope and leave him choking on the floor. You pick up a vicious-looking reciprocating saw on your way out of the jet engine room. The hallway you find yourself is well lit and is surprisingly spacious, although it is lined with miscellaneous white pipes, levers and gauges. On one end, there is a door on the left, and a staircase leading up. On the other, a staircase leading down.