Question

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

16.8 m 
16.8 m 

24.1 cm
24.1 cm

9.1 m 
9.1 m 

14.8 cm
14.8 cm

Answer 1

The slant height l, half the base a/2, and the pyramid height h form a right triangle: h = sqrt(l^2 − (a/2)^2).
So h = sqrt(13.5^2 − 10^2) = sqrt(182.25 − 100) = sqrt(82.25) ≈ 9.1 m.