Use the image to answer the question. The image depicts a square pyramid that on the top right side has a arrow pointing to 25 ft. And on the bottom side has 40 ft written beneath it. Also in the middle of it there is an h. Apply the pythagorean theorem to determine the height of the square. Pyramid, h. Round the answer to the nearest 10th. The available responses are: 15.0 ft. 31.2 ft. 32.0 ft. Or 47.2 ft
To find the height of the square pyramid, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c, in this case the height of the pyramid) is equal to the sum of the squares of the lengths of the other two sides (a and b). So in this case, we have:
a^2 + b^2 = c^2
(25)^2 + (40)^2 = h^2
625 + 1600 = h^2
2225 = h^2
Taking the square root of both sides to solve for h, we get:
h = √2225
h ≈ 47.2 ft
Therefore, the height of the square pyramid is approximately 47.2 ft. The closest answer choice is 47.2 ft.