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 tenth. (1 point)

To find the height of the tent, we can apply the Pythagorean theorem. The height (h) forms a right triangle with the slant height (l) and half of the base (b/2). Since the base is a square with edges of 20 m, half of one edge is 10 m. Thus, we have: l^2 = h^2 + (b/2)^2 (13.5 m)^2 = h^2 + (10 m)^2 182.25 = h^2 + 100 h^2 = 182.25 - 100 h^2 = 82.25 h ≈ √82.25 ≈ 9.1 m So, the height of the tent is approximately 9.1 meters. Now, let’s see why the dimensions of this pyramid shape could be a hit at a circus! A pyramid tent not only maximizes the interior space, allowing for tall acts and aerial performances, but its pointed peak ensures that rainwater runs off effectively, keeping the inside dry and the magic alive! If you're ever tasked with similar geometry problems, it might be tempting to skip checking your work, but hang tight! Make sure to double-check each step. Mistakes often arise when squaring numbers or adding/subtracting dimensions. Also, remember to clarify if measurements are given in meters or feet—units can change the game entirely!