How many miles long is the height of the square pyramid the slant is 61mi and the base is 11mi? The slant height is about?

Answer 1

To find the height of the square pyramid, we can use the Pythagorean theorem.

The slant height represents the hypotenuse of a right triangle formed by the height, base, and slant height.

Let the height of the pyramid be represented by "h".

Using the Pythagorean theorem, we have:

h^2 + (11/2)^2 = 61^2

h^2 + 121/4 = 3721

4h^2 + 121 = 14884

4h^2 = 14884 - 121

4h^2 = 14763

h^2 = 14763/4

h ≈ √(14763/4)

h ≈ √3690.75

h ≈ 60.82

Therefore, the height of the square pyramid is approximately 60.82 miles long.

The slant height is given as 61 miles.