Question

A. The Aon Centre in Chicago, Illinois, is one of the world’s tallest buildings. Built in 1973, it is 1,136 feet high and has 80 stories. If each story is of equal height, how tall is each story?

b. Burj al Arab Hotel, another one of the world’s tallest buildings, was finished in 1999. Located in Dubai, it is 1,053 feet high with 60 stories. If each floor is the same height, how much taller or shorter is each floor than the height of the floors in the Aon Center?

Answer 1

The height of one story will be 14.2 feet.

Explanation:

Total height of building = 1,136 feet -------1

Total number of stories = 80

Lets take height of one story is h feet

Height of one story = h feet

So

The height of total 80 stories = 80 h feet ----------2

Now by equating equation 1 and 2 we will get

1,136 = 80 h

h=14.2 feet

So the height of one story will be 14.2 feet.

Answer 2

a.
`14.2\ feet`

b. Each floor of the Burj al Arab is 3.35 feet taller than the floor of the Aon Center.

Explanation:

a. We know that the height of the Aon Center is 1,136 feet.

This building has 80 stories whose heights are equal.

Therefore, in order to calculate the height of each story, we must divide the height of the Aon Center by the number of stories it has.

Then, you get:

`h_1=(1,136\ feet)/(80)=14.2\ feet`

b. We know that the height of the Burj al Arab Hotel is 1,053 feet.

This building has 60 stories whose heights are equal.

Therefore, in order to calculate the height of each of its story, we must divide the height of the Burj al Arab Hotel by the number of stories it has.

Then, you get:

`h_2=(1,053\ feet)/(60)=17.55\ feet`

Notice that the difference between the heights of the each floors of the Burj al Arab and the Aon Center is:

`17.55\ feet-14.2\ feet=3.35\ feet`

Therefore, each floor of the Burj al Arab is 3.35 feet taller than the floor of the Aon Center.