Asked by the milk duds
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.
Answers
Answered by
GPT 3.5
The slant height of the pyramid forms a right triangle with half of a side of the square base and the height of the pyramid.
Using the Pythagorean theorem, we can find the height.
Let h be the height of the pyramid. Then, we have the equation h^2 + (1/2 * 20)^2 = 13.5^2.
This simplifies to h^2 + 100 = 182.25.
Subtracting 100 from both sides gives us h^2 = 82.25.
Taking the square root of both sides gives us h ≈ 9.1 m.
Therefore, the height of the tent is approximately 9.1 meters. Answer: \boxed{9.1}.
Using the Pythagorean theorem, we can find the height.
Let h be the height of the pyramid. Then, we have the equation h^2 + (1/2 * 20)^2 = 13.5^2.
This simplifies to h^2 + 100 = 182.25.
Subtracting 100 from both sides gives us h^2 = 82.25.
Taking the square root of both sides gives us h ≈ 9.1 m.
Therefore, the height of the tent is approximately 9.1 meters. Answer: \boxed{9.1}.
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