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

15.0 ft.
15.0 ft.

47.2 ft.
47.2 ft.

32.0 ft.
32.0 ft.

31.2 ft.

Answer 1

I don’t have access to the image you mentioned. Could you re-upload it or type the labeled lengths (base side length and the slant length shown)?

How to solve once I have the numbers:
- If the slanted segment given goes from the apex to a corner (slant edge = L), and the base side is s, the horizontal distance from the center to a corner is (s√2)/2, so
h = sqrt( L^2 − (s^2 / 2) ).
- If the slanted segment given goes from the apex to the midpoint of a side (slant height = L), the horizontal distance from the center to that midpoint is s/2, so
h = sqrt( L^2 − (s/2)^2 ).

Give me the numbers shown on the picture and I’ll compute h (to the nearest tenth) and pick the correct multiple-choice answer.