In Example 2 of Section 7.6, we assumed the width of the Parthenon to be 101 ft and found the height to be 62.4 ft (assuming the golden ratio). If you worked Problem 7 in Problem Set 7.6, you assumed the height to be 60 ft and the width to be 97 ft. Are the numbers from Example 2 and Problem 7 consistent? Can you draw any conclusions?

Data from Example 2

If the Parthenon is 101 feet wide, what is its height (to the nearest foot) if we assume the dimensions are in a golden ratio?

Data from Problem 7

If the Parthenon in Greece is 60 ft tall (at the apex) and 97 ft wide, find the ratio of width to height and compare it with π.

Transcribed Image Text:

Panthon, Paris Don't confuse the Panthon in Paris (1757), the Parthenon in Athens (447 B.C.), or the Pantheon in Rome (A.D. 126). Nexus 7/Shutterstock.com WI The Parthenon in Centennial Park is a replica of the original Parthenon in Athens. The original in Athens is in ruins, so we show this reconstruction.