Mr Rose said he “just couldn’t stand up straight” due to heat exhaustion and was “bouncing off the walls walking down”.
“My heart rate was three times over what it normally would be,” he told the Lambeth town hall hearing on Wednesday.
“I remember being carried out of the building by two firefighters. I don’t know who. I remember at times being doused in water to cool me down and then being put into the back of an ambulance.”
Yesterday the inquest heard how a woman who had been sheltering from the fire in flat 81 with the Francisquinis and Udoakas tried in vain to get an earlier crew of firefighters to return to the property to save her neighbours.
Crews had been ordered to the 11th floor after Rasheed Nuhu was seen throwing a makeshift rope - made from knotted bed sheets - over the balcony and threatening to jump.
Firefighter Wayne Field led the Nuhus and carried their two young daughters to safety after breaking down three fire doors to reach them. “I did my best to tell them what I could,” Fatima Nuhu said in a statement read out at the inquest.
Mr Field told the inquest: “The lady said as we were going downstairs: ‘There is children next door.’
“She said ‘81,81’. That is all she kept saying, ‘81, 81.’”
James Maxwell-Scott, counsel to the inquest, asked him: “Did 81 mean anything to you?”
Mr Field replied: “Answer: no.”
He said that after getting the Nuhus to safety, he and crew manager David Ford went back upstairs but their breathing apparatus alarms sounded, indicated they were about to run out of oxygen. They withdrew and told crews coming up the stairs to go to flat 81.
The inquest resumes today and is expected to run until the end of March.