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
16.8 m
16.8 m
14.8 cm
To find the height of the tent, we can use the Pythagorean theorem.
Let's call the height of the tent "h". We can form a right triangle with one side being half of the square base (10 m), the other side being the height of the tent (h), and the slant height of the pyramid being the hypotenuse (13.5 m).
Using the Pythagorean theorem, we can write:
10^2 + h^2 = 13.5^2
100 + h^2 = 182.25
h^2 = 82.25
h ≈ √82.25
h ≈ 9.1
Therefore, the height of the tent is approximately 9.1 m.