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.

Answer 1

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.