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.(1 point)
Responses

14.8 cm
14.8 cm

9.1 m 
9.1 m 

24.1 cm
24.1 cm

16.8 m 

Answer 1

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

The height (h) of the tent is the perpendicular distance from the apex (top) of the pyramid to the base.

Using the Pythagorean theorem, we can write:

h^2 = (slant height)^2 - (base edge/2)^2

Plugging in the given values:

h^2 = 13.5^2 - (20/2)^2
h^2 = 182.25 - 100
h^2 = 82.25

Taking the square root of both sides:

h = √82.25
h ≈ 9.1

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