To calculate the height of the square pyramid, we can use the Pythagorean Theorem.
The formula is: a^2 + b^2 = c^2
Given that one side of the square base is 25 ft, the height from one edge of the base to the top of the pyramid is 40 ft, and the height we are trying to find (h), is the hypotenuse of a right triangle.
Let one side of the base be a, the height be b, and the height of the pyramid be h.
So, a = 25 ft and b = h ft.
Plugging the values into the formula:
25^2 + h^2 = 40^2
625 + h^2 = 1600
h^2 = 1600 - 625
h^2 = 975
h = √975
h ≈ 31.2 ft
Therefore, the height of the square pyramid is approximately 31.2 ft.
Answer: ○ 31.2 ft.
25 ft.
h
40 ft.
Apply the Pythagorean Theorem to determine the height of the square pyramid,
h. Round the answer to the nearest tenth.
(1 point)
○ 15.0 ft.
○ 31.2 ft.
○ 47.2 ft.
○ 32.0 ft.
1 answer