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)
Responses
14.8 cm
14.8 cm
9.1 m
9.1 m
16.8 m
16.8 m
24.1 cm
To find the height of the tent, we can use the Pythagorean theorem.
Let's call the height of the tent "h". We can create a right triangle with one of the edges of the square base as the base of the triangle and the slant height as the hypotenuse.
The length of the base is given as 20 m, and the slant height is given as 13.5 m.
Using the Pythagorean theorem, we can write:
h^2 + 10^2 = 13.5^2
Simplifying, we get:
h^2 + 100 = 182.25
Subtracting 100 from both sides, we get:
h^2 = 82.25
Taking the square root of both sides, we get:
h ≈ 9.1 m
Therefore, the height of the tent is approximately 9.1 m.
The correct answer is:
9.1 m