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
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.