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.(1 point)

Question

m

Answer 1

To find the height of the pyramid, we can use the Pythagorean theorem.

The slant height, base, and height form a right triangle.
The base is the length of one side of the triangle, which is 230.5 m.
The slant height is the hypotenuse of the triangle, which is 180.2 m.

Let h be the height of the pyramid.

Using the Pythagorean theorem, we have:
h^2 + 230.5^2 = 180.2^2

Simplifying, we get:
h^2 + 53002.5 = 32472.04

Subtracting 53002.5 from both sides, we get:
h^2 = 32472.04 - 53002.5
h^2 = -19530.46

Taking the square root of both sides, we get:
h = √(-19530.46)

Since we can't take the square root of a negative number, the height of the pyramid is not real.

Therefore, there is no solution for the height of the pyramid.