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

Answer 1

Thats not an answer, the answers are
A: 24.1 CM
B: 16.8 M
C: 9.1 M
D: 14.8 CM

Answer 2

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

Let h be the height of the tent.

The slant height (l) is the hypotenuse of a right triangle formed by the height, the slant height, and half the length of the square base.

Using the Pythagorean theorem:

20^2 + (0.5 * 20)^2 = 13.5^2
400 + 100 = 182.25
500 = 182.25
500 - 182.25 = h^2
317.75 = h^2
h ≈ 17.8 m

Therefore, the height of the tent is approximately 17.8 meters.

Answer 3

I apologize for my mistake. Let's reevaluate the problem.

We can use the Pythagorean theorem to find the height of the tent.

The height (h) is the side of a right triangle with the slant height as the hypotenuse and half the length of the square base as one of the legs.

Using the Pythagorean theorem:

h^2 + (0.5 * 20)^2 = 13.5^2
h^2 + 10^2 = 182.25
h^2 + 100 = 182.25
h^2 = 182.25 - 100
h^2 = 82.25
h = √82.25
h ≈ 9.1 m

Therefore, the correct answer is C: 9.1 m.