The Pyramid is an area in Memphis, Tennessee. Its height is 321 ft, and is slant height is 436.5 ft. Find the length of the edge of the square base. Round the answer to the nearest tenth.
To find the length of the edge of the square base, we can use the Pythagorean theorem.
Let x be the length of the edge of the square base.
Using the Pythagorean theorem, we have:
x^2 + (321 ft)^2 = (436.5 ft)^2
Simplifying, we get:
x^2 + 103041 ft^2 = 190632.25 ft^2
Subtracting 103041 ft^2 from both sides, we get:
x^2 = 87591.25 ft^2
Taking the square root of both sides, we get:
x ≈ 296.1 ft
Therefore, the length of the edge of the square base is approximately 296.1 ft.