Just to balance the thread out the same website in the detailed advice section (which the above quote tells people in flats to read) says (My italics):
Escaping from a high-rise building
Living above the first floor doesn't necessarily make you any more at risk from fire. High-rise flats are built to be fire-proof – walls, ceilings and doors will hold back flames and smoke.
Most of your planning should be the same as homes at ground level, but there are some key differences:
- you won’t be able to use the lift if there’s a fire, so choose an escape route that takes this into account
- count how many doors there are on the route to get to the stairs when you can’t use the lift, in case you can’t find your way
- make sure stairways and fire escapes are kept clear of all obstructions and that fire doors are never locked
- regularly check that you can open the doors to stairways or escapes from both sides
If there's a fire elsewhere in the building, you are usually safest in your own flat, unless heat or smoke is affecting you. If you are affected, you should get out, stay out and call 999.