The Great Pyramid of Giza in Egypt has a square base with an edge length of 230.5 m and a slant height of 180.2 m. Find the height of the pyramid. Round the answer to the nearest tenth.
Let's call the height of the pyramid "h." We can use the Pythagorean theorem to find it.
The slant height (180.2 m) is the hypotenuse of a right triangle, where the base (230.5 m) is one of the legs, and the height (h) is the other leg.
Using the Pythagorean theorem, we have:
(230.5)^2 + h^2 = (180.2)^2
53302.25 + h^2 = 32544.04
h^2 = 32544.04 - 53302.25
h^2 = 20758.21
h ≈ √20758.21
h ≈ 144.1
Therefore, the height of the pyramid is approximately 144.1 m.