The Great Pyramid of Giza in Egypt has a square base with 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.
To find the height of the pyramid, we can use the Pythagorean Theorem.
The slant height is the hypotenuse of a right triangle formed by one side of the square base and the height of the pyramid.
Let's denote the height of the pyramid as "h".
Using the Pythagorean Theorem, we have:
h^2 = (slant height)^2 - (edge length/2)^2
h^2 = 180.2^2 - (230.5/2)^2
h^2 = 32544.04 - 13327.78
h^2 = 19216.26
Taking the square root of both sides:
h ≈ √19216.26
h ≈ 138.7
Rounding to the nearest tenth:
The height of the pyramid is approximately 138.7 m.