Question

A circus tents is in the shape of a pyramid. Each edge of the square base is 20m and its slant height is 13.5m

Answer 1

To find the height of the pyramid, we can use the Pythagorean theorem.

The slant height is the hypotenuse of a right triangle, with the two base edges as the other two sides.

Let's call the height of the pyramid "h", and the base edge "a".

Then, using the Pythagorean theorem, we have:

h^2 = (a/2)^2 + (a/2)^2
h^2 = a^2/4 + a^2/4
h^2 = 2a^2/4
h^2 = a^2/2

We know that the base edge is 20m, so:

h^2 = (20m)^2/2
h^2 = 400m^2/2
h^2 = 200m^2

Taking the square root of both sides, we get:

h = √(200m^2)
h ≈ 14.14m

Therefore, the height of the pyramid (and the circus tent) is approximately 14.14 meters.