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 10th.
A. 9.1 m
B. 16.8 m
C. 24.1 cm
D. 14.8 cm
To find the height of the tent, we can use the Pythagorean theorem to find the height of one of the triangular faces.
Let the height of the tent be h.
Using the Pythagorean theorem, we have:
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 m.
Answer: A. 9.1 m