Question

A circus tent is in the shape of a square pyramid each edge of the square base is 20m and its slant is 13.5 m. Find the height of the tent. round answer to the nearest tenth

a. 14.8 cm
b. 9.1 cm
c. 16.8 cm
d. 24.1 cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

The slant height (hypotenuse of the triangle) is 13.5m, and the base edge (one leg of the triangle) is 20m.

Let the height of the pyramid be denoted as h.

Using Pythagorean theorem:
(20/2)^2 + h^2 = 13.5^2
10^2 + h^2 = 13.5^2
100 + h^2 = 182.25
h^2 = 182.25 - 100
h^2 = 82.25
h = sqrt(82.25)
h ≈ 9.1 m

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

The answer is b. 9.1 m.