A circus tent is in the shape of a square pyramid . Each edge of the square base is 20 m And it’s slant height is 13.5m Find the height of the tent. The answer to the nearest 10th.

1 answer

To find the height of the tent, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the height of the tent as "h."
Using the Pythagorean theorem:
h^2 = (13.5)^2 - (10)^2
h^2 = 182.25 - 100
h^2 = 82.25
h = √82.25
h ≈ 9.07

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