To find the height of the tent, we can use the Pythagorean theorem.
Let's label the height of the tent as 'h'.
The slant height of the pyramid is given as 13.5 m, and the base of the pyramid is a square with each edge measuring 20 m.
The slant height, height, and base of the pyramid form a right triangle. Using the Pythagorean theorem, we can write the equation:
13.5^2 = h^2 + 20^2
182.25 = h^2 + 400
h^2 = 182.25 - 400
h^2 = -217.75
Since the calculated value of h^2 is negative, it means that there is no real solution for the height of the tent. Therefore, the given options are incorrect.
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
24.1 cm
24.1 cm
16.8 m
16.8 m
9.1 m
1 answer
1 answer