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)
a.24.1 cm
b.9.1 m
c.14.8 cm
d.16.8 m
To find the height of the tent, we can use the Pythagorean theorem.
Let's call the height of the tent h.
Using the Pythagorean theorem, we have:
h^2 = (slant height)^2 - (base edge/2)^2
h^2 = 13.5^2 - 10^2
h^2 = 182.25 - 100
h^2 = 82.25
Taking the square root of both sides, we find:
h ≈ 9.1 m
Therefore, the height of the tent is approximately 9.1 m.
The correct answer is b. 9.1 m.