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.

Answer 1

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.