Answer:
2 ft 2 in. or 26 in. or 2 1/6 ft
Explanation:
The poster is 32 inches high. Half of the height is 32 in./2 = 16 in. = 1 ft 4 in.
The center of the poster will be at 5 1/2 ft from the floor = 5 ft 6 in.
When you put the center of the poster at 5 ft 6 in. from the floor, the top of the poster will be 1 ft 4 in. above 5 ft 6 in.
5 ft 6 in. + 1 ft 4 in. = 6 ft 10 in.
The top of the poster is 6 ft 10 in. above the floor.
The room is 9 ft tall.
Now we subtract 6 ft 10 in. from 9 ft to find out the distance from the top of the poster to the ceiling.
(9 ft) - (6 ft 10 in.) = (8 ft 12 in.) - (6 ft 10 in.) = 2 ft 2 in.
Since there are 12 in. in a ft, 2 ft = 24 in.
2 ft 2 in. = 24 in. + 2 in. = 26 in.
Since there are 12 in. in a ft, 2 in. = 2/12 ft = 1/6 ft
The distance is 2 1/6 ft