Answer: 14cm
Step-by-step explanation:
From the question, we are informed that Austin is building a miniatuer replica of the empire state building and that the actual empire state building is 1,423 feet tall and 6,000 feet wide
We are further told that Austin's replica has a width of 60 centimeters. This implies that the scale of 1:100 was used where 1cm represents 100 feet
= 60:6000
= 1:100
Therefore, the height of his empire state building replica rounded to the nearest centimeter will be:
= 1423/100
= 14.23cm
= 14cm approximately