Question

Apply the Pythagorean Theorem to determine the height of the square pyramid, h . Round the answer to the nearest tenth.

(1 point)
Responses

47.2 ft.
47.2 ft.

15.0 ft.
15.0 ft.

31.2 ft.
31.2 ft.

32.0 ft.

Answer 1

To apply the Pythagorean Theorem, we need to consider the base of the pyramid as one of the sides of a right triangle, and the height of the pyramid as the height of the right triangle.

Let's assume the length of one side of the base of the pyramid is 15 ft.

Using the Pythagorean Theorem, we have:

h^2 = (15/2)^2 + 15^2
h^2 = 225/4 + 225
h^2 = 225(1/4 + 1)
h^2 = 225(5/4)
h^2 = 281.25

Taking the square root of both sides, we have:

h = √281.25

Rounding to the nearest tenth, the height of the square pyramid is approximately 16.8 ft.