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)

14.8 cm

16.8 m 

9.1 m 

24.1 cm
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Answer 1

Half the base edge is 10 m. Use the right triangle with legs h and 10 and hypotenuse 13.5:
h = sqrt(13.5^2 − 10^2) = sqrt(182.25 − 100) = sqrt(82.25) ≈ 9.1 m.
Answer: 9.1 m.