To advance you need to solve a power puzzle. Head into the room at the end of the hall. Inside this room grapple up to the ledge on the left side. Hook in with you Blue Hand then drop down. Walk around the poles then grab a charge with the Green Hand. Use the Green Hand to switch the active grapple point to the right by shooting the switch on the wall. Grapple up and hook in to complete the circuit. Go back out to the hallway and enter the now open door there.