First, we can use the formula for the slant height of a square pyramid to find the height of the triangle. The slant height is the hypotenuse of a right triangle, with the base of the triangle being half the length of one side of the square base of the pyramid (20 m / 2 = 10 m) and the height being the height of the pyramid.
Applying the Pythagorean theorem, we have:
(10 m)^2 + h^2 = (13.5 m)^2
Simplifying:
100 m^2 + h^2 = 182.25 m^2
Subtracting 100 m^2 from both sides:
h^2 = 82.25 m^2
Taking the square root of both sides:
h ≈ 9.1 m
Rounding to the nearest tenth, the height of the 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)
24.1 cm
16.8 m
O91m
14.8 cm
1 answer
1 answer