The Great Pyramid of Giza Egypt has a square base with an edge 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.
We can use the Pythagorean Theorem to solve this problem.
Let's label the height of the pyramid as "h".
We have the equation:
(h)^2 + (230.5/2)^2 = (180.2)^2
Simplifying, we get:
h^2 + 26526.25 = 32544.04
Subtracting 26526.25 from both sides, we get:
h^2 = 6017.79
Taking the square root of both sides, we get:
h ≈ 77.5 m
Therefore, the height of the pyramid is approximately 77.5 meters.