Question

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)
14.8 cm
○ 16.8 m
O 9.1 m
24.1 cm

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

The slant height (13.5 m) is the hypotenuse of a right triangle formed by the height (h) of the pyramid and half the length of the square base (10 m).

Using the Pythagorean theorem,
h^2 + 10^2 = 13.5^2
h^2 + 100 = 182.25
h^2 = 82.25
h = √82.25
h ≈ 9.1 m

Therefore, the height of the tent is approximately 9.1 meters. The closest answer choice is 9.1 m.