The 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 13.5 m find the height of the tent round the answer to the nearest tenth

Answer 1

To find the height of the tent, we can use the Pythagorean Theorem. Let's label the height as "h".

The slant height is the hypotenuse of a right triangle formed by one edge of the square base and the height of the tent. The length of one edge of the square base is given as 20 m.

Using the Pythagorean Theorem, we have:

h^2 + 20^2 = 13.5^2

h^2 + 400 = 182.25

h^2 = 182.25 - 400

h^2 = 217.75

Taking the square root of both sides, we find:

h ≈ √217.75

h ≈ 14.7

Therefore, the height of the tent is approximately 14.7 m.