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. 15.0 ft. 15.0 ft. 47.2 ft. 47.2 ft. 31.2 ft.

Answer 1

To determine the height \( h \) of a square pyramid using the Pythagorean theorem, we typically need to know:

1. The length of the base's side (let's denote this as \( a \)).
2. The slant height (\( s \)) of the pyramid, which is the distance from the midpoint of a side of the base to the apex (top point) of the pyramid.

The relationship between the height \( h \), half of the base's side \( \frac{a}{2} \), and slant height \( s \) can be expressed with the Pythagorean theorem as:

\[ s^2 = h^2 + \left( \frac{a}{2} \right)^2 \]

If you provide the values for the base side length and the slant height, I can help calculate the height \( h \) of the pyramid. Please provide these details so I can assist you further.