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
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 is the hypotenuse, and the base edge is one of the legs of the right triangle.
By the Pythagorean theorem, we have:
h^2 + (20/2)^2 = 13.5^2
Simplifying, we get:
h^2 + 10^2 = 13.5^2
h^2 + 100 = 182.25
h^2 = 182.25 - 100
h^2 = 82.25
Taking the square root of both sides:
h ≈ √82.25
h ≈ 9.08
Therefore, the height of the tent is approximately 9.08 meters.