Let's use the Pythagorean theorem to solve for the height of the pyramid.
The slant height is the hypotenuse of a right triangle with the height and one-half of the base as the other two sides.
Let h be the height of the pyramid. Then the base of the triangle is (1/2)(20m) = 10m.
Using the Pythagorean theorem, we have:
h^2 + 10^2 = 13.5^2
h^2 + 100 = 182.25
h^2 = 182.25 - 100
h^2 = 82.25
Taking the square root of both sides:
h ≈ √82.25
h ≈ 9.1 m
Therefore, the height of the circus tent is approximately 9.1 m.
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
16.8 m
16.8 m
24.1 cm
24.1 cm
9.1 m
1 answer