To determine the height of the square pyramid, we can use the Pythagorean Theorem which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Using this theorem, let's consider the base of the pyramid as one side of the right triangle, and the height of the pyramid as the other side. The hypotenuse of the right triangle would be the slant height of the pyramid.
Let's denote the base of the pyramid as 25 ft and the slant height as 40 ft.
Using the Pythagorean Theorem, we have:
25^2 + h^2 = 40^2
625 + h^2 = 1600
h^2 = 1600 - 625
h^2 = 975
Taking the square root of both sides, we have:
h ≈ √975
h ≈ 31.30 ft
Rounding to the nearest tenth, the height of the square pyramid is approximately 31.3 ft.
Therefore, the answer is not one of the given options.
25 ft.
h
40 ft.
Apply the Pythagorean Theorem to determine the height of the square pyramid, h. Round the answer to the nearest ter
(1 point)
32.0 n
O47.2 m
150n
3120
1 answer