Question

Apply the Pythagorean Theorem to determine the height of the square pyramid, h. Round the answer to the nearest tenth. 25 ft. 40 ft.

a. 47.2 ft
b. 31.2 ft
c. 15.0 ft
d. 32.0 ft

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the height of the square pyramid, we can use the Pythagorean Theorem, which states:

a^2 + b^2 = c^2

where a and b are the base sides of the triangle (in this case the base of the square pyramid) and c is the height of the triangle (in this case the height of the square pyramid).

In this case, the base sides of the square pyramid are 25 ft and 40 ft. Let's call the height of the square pyramid h. We can set up the equation:

25^2 + 40^2 = h^2
625 + 1600 = h^2
2225 = h^2
h = √2225
h ≈ 47.2 ft

Therefore, the height of the square pyramid is approximately 47.2 ft. So, the answer is (a) 47.2 ft.