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 

14.8 cm
14.8 cm

24.1 cm
24.1 cm

9.1 m 
9.1 m

Answer 1

Slant height l, half the base = 20/2 = 10. In the right triangle: l^2 = h^2 + 10^2.

h = sqrt(l^2 − 10^2) = sqrt(13.5^2 − 100) = sqrt(182.25 − 100) = sqrt(82.25) ≈ 9.1 m.

Answer: 9.1 m.