for the square pyramid the lateral edge length, e, is 25 in. and the slant height, s, is 24

Answer 1

We can use the Pythagorean theorem to find the height of the pyramid, h.

h^2 = s^2 - (e/2)^2
h^2 = 24^2 - (25/2)^2
h^2 = 576 - 156.25
h^2 = 419.75
h ≈ √419.75
h ≈ 20.48 in

Therefore, the height of the square pyramid is approximately 20.48 inches.