Question

apply the pythagorean theorem to determine the height of the square pyramid, $h$. round the answer to the nearest tenth.
(1 point)
$\bigcirc$ 31.2 ft.
$\bigcirc$ 47.2 ft.
$\bigcirc$ 15.0 ft.
$\bigcirc$ 32.0 ft.
the square pyramid has a base edge length of 40 ft. and a slant height of 25 ft.

Explanation:

Step1: Find base half-length

The base is a square with side 40 ft, so half the side is $\frac{40}{2}=20$ ft.

Step2: Set up Pythagorean theorem

The slant height (25 ft) is the hypotenuse of a right triangle with legs $h$ and 20 ft.
$$25^2 = h^2 + 20^2$$

Step3: Solve for $h^2$

Calculate squares: $625 = h^2 + 400$, so $h^2=625-400=225$.

Step4: Calculate and round $h$

Take square root: $h=\sqrt{225}=15.0$ ft.

Answer:

15.0 ft (Option: 15.0 ft)