The Luxor Hotel in Las Vegas is 350 feet tall. According to the problem, the height of the Great Pyramid of Giza is 275 feet shorter than two times the height of the Luxor Hotel. So, we can set up the equation:
2 * height of Luxor Hotel - 275 feet = height of Great Pyramid of Giza
Substituting the given height of the Luxor Hotel into the equation gives us:
2 * 350 feet - 275 feet = height of Great Pyramid of Giza
So, the height of the Great Pyramid of Giza is 425 feet.