2. The Empire State Building was the tallest building in the world for 40 years. It has observation decks for visitors on the 86th and 102nd floors. If a building’s story height ranges from just under 12 feet to just under 14 feet, which would be a good estimate for the distance between the two observation decks?
A. 200 feet
B. 190 feet
C. 250 feet
D. 16 feet
B. 190 feet
ITEM 3
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To find a good estimate for the distance between the two observation decks, we need to know the story height of the building and do some calculations.
Given that the story height ranges from just under 12 feet to just under 14 feet, let's take the average of these two values to get a rough estimate.
The average of just under 12 feet and just under 14 feet would be approximately (12 + 14) / 2 = 26 / 2 = 13 feet.
Now, let's calculate the approximate distance between the two observation decks. The 86th floor is 86 * 13 feet = 1,118 feet from the ground. Similarly, the 102nd floor is at 102 * 13 feet = 1,326 feet from the ground.
To find the estimated distance between the two observation decks, we subtract the height of the 86th floor from the height of the 102nd floor:
1,326 feet - 1,118 feet = 208 feet.
Therefore, the estimated distance between the two observation decks is approximately 208 feet.
Looking at the answer choices provided:
A. 200 feet
B. 190 feet
C. 250 feet
D. 16 feet
The best estimate for the distance between the two observation decks based on our calculations is 208 feet, which is closest to option C, 250 feet.