Final answer:
The Willis Tower is 442 meters tall to the roof and the Great Pyramid is approximately 138 meters tall. The Burj Khalifa is about 505.8 meters taller than the Eiffel Tower. The heights of these structures exemplify the marvel of human engineering and the impact of temperature on the expansion of materials like steel.
Step-by-step explanation:
The Willis Tower, formerly known as the Sears Tower, is located in Chicago and was once the world's tallest building. It is still considered the tallest building in the Western Hemisphere. The actual height of the Willis Tower is 442 meters (1,450 feet) to the roof and 527 meters (1,729 feet) to the tip. The Great Pyramid of Giza originally stood at about 146.6 meters (481 feet) but now is approximately 138 meters (455 feet) due to the loss of the outer casing stones and the capstone. Comparing the heights of different structures, the Burj Khalifa in Dubai, which is the tallest artificial structure in the world, stands at an impressive 829.8 meters (2,722 feet) tall. It dwarfs the Eiffel Tower in Paris, which was completed in 1889 with a height of 300 meters (984 feet) and is now approximately 324 meters (1,063 feet) including antennas. Therefore, the Burj Khalifa is approximately 505.8 meters (1,659 feet) taller than the Eiffel Tower. When considering the expansion of structures due to temperature change, for instance, if the temperature increases by 15°C, the Eiffel Tower, assuming it is made of steel, would become taller; this is due to thermal expansion, a phenomenon where materials increase in volume with an increase in temperature.