Question

Use the image to answer the question.

A square pyramid with labeled dimensions.

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

(1 point)
Responses

32.0 ft.
32.0 ft.

31.2 ft.
31.2 ft.

47.2 ft.
47.2 ft.

15.0 ft.
15.0 ft.
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Answer 1

Let the slant height along a face be 40 ft and half the base side be 24 ft. In the right triangle formed by the height h, half the base, and the slant height:

40^2 = h^2 + 24^2
h^2 = 40^2 − 24^2 = 1600 − 576 = 1024
h = sqrt(1024) = 32

Height = 32.0 ft.