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 10th
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 of a right triangle with one leg equal to half the length of the square base.
So, one of the legs of the triangle is 20/2 = 10m.
Now, we can use the Pythagorean theorem to find the other leg (h).
Using the Pythagorean theorem:
h^2 = (13.5m)^2 - (10m)^2
h^2 = 182.25m^2 - 100m^2
h^2 = 82.25m^2
Taking the square root of both sides:
h = √82.25m^2
h ≈ 9.1m
Therefore, the height of the tent is approximately 9.1 meters.