The Great Pyramid of Giza in Egypt has a square base with edge length of 230.5 m and a slant height of 180 2m Find the height of the pyrami Round the answer to the nearest tenth (1 point)
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To find the height of the pyramid, we can use the Pythagorean theorem.
The slant height (hypotenuse) is 180.2 m, and one of the sides of the base is 230.5 m.
Let h be the height of the pyramid.
Using the Pythagorean theorem, we can write the equation:
h^2 + (230.5)^2 = (180.2)^2
h^2 + 53130.25 = 32472.04
h^2 = 32472.04 - 53130.25
h^2 = 20658.81
Taking the square root of both sides, we get:
h ≈ 143.8 m
Rounded to the nearest tenth, the height of the pyramid is approximately 143.8 meters.