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, with the base as one of the legs. Let's call the height "h", the base "b", and the slant height "s".
We know the base has an edge length of 230.5 m and the slant height is 180.2 m. Using the Pythagorean theorem, we have:
s^2 = b^2 + h^2
180.2^2 = 230.5^2 + h^2
32,487.04 = 53,116.25 + h^2
h^2 = 32,487.04 - 53,116.25
h^2 = -20,629.21
Since the square root of a negative number is not a real number, this means that there is no real solution for the height of the pyramid. Therefore, it is not possible to calculate the height of the pyramid with the given information.