Final answer:
The entire height of the Space Needle is 605 feet, and a replica at a scale of 1/100th would be 6.05 feet tall.
Step-by-step explanation:
The student is asked to find out the height of a replica of the Space Needle if the replica is (1)/(100) the height of the entire Space Needle. To do this, we first need to calculate the total height of the Space Needle. The observation deck is 520 feet above ground and the tip is an additional 85 feet above that. So the entire height of the Space Needle is 520 feet + 85 feet = 605 feet.
Now, to find the height of the replica, we take 1/100th of the Space Needle's total height:
Height of replica = 605 feet / 100 = 6.05 feet.
Therefore, the replica of the Space Needle that the artist makes would be 6.05 feet tall.