Question

use the image to answer the question. 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 32.0 ft

Explanation:

Step1: Find half of the base length

The base of the square pyramid is \(40\) ft. Half of the base length \(a=\frac{40}{2} = 20\) ft.

Step2: Apply the Pythagorean Theorem

The Pythagorean Theorem is \(h=\sqrt{l^{2}-a^{2}}\), where \(l = 25\) ft (slant height) and \(a = 20\) ft.
Substitute the values: \(h=\sqrt{25^{2}-20^{2}}=\sqrt{(25 + 20)(25 - 20)}=\sqrt{45\times5}=\sqrt{225}=15\) ft.

Answer:

\(15.0\) ft