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) Responses

Answer 1

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

Let's call the height of the tent "h".

We have a right triangle formed by half of the base edge (10 m), the slant height (13.5 m), and the height of the tent (h).

Using the Pythagorean theorem, we can write:

(10)^2 + h^2 = (13.5)^2

100 + h^2 = 182.25

h^2 = 82.25

Taking the square root of both sides, we have:

h ≈ 9.1

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