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 9.1 m 9.1 m 16.8 m 16.8 m 14.8 cm 14.8 cm 24.1 cm

Answer 1

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

Let's call the height of the tent h.

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

Using the Pythagorean theorem, we have:
h^2 + 10^2 = 13.5^2
h^2 + 100 = 182.25
h^2 = 82.25
h ≈ 9.1 m

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

The correct response is:
9.1 m