Question

A circus tent is in the shape of a square pyramid. Each edge of the square base is 20 m and its slant height is 13.5 m. Find the height of the tent. Round the answer to the nearest tenth. (1 point)

Answer 1

To find the height of the tent, we can use the Pythagorean Theorem.

The slant height (l) is the hypotenuse of a right triangle formed by the height (h), half the edge of the base (10 m), and the slant height (13.5 m).

Using the Pythagorean Theorem:
l^2 = h^2 + 10^2
13.5^2 = h^2 + 10^2
182.25 = h^2 + 100
82.25 = h^2
h ≈ √82.25
h ≈ 9.1

Therefore, the height of the tent is approximately 9.1 meters.