Suppose you have a conical shaped tent that you will use for camping. You want to bring along a tarp to fully cover the lateral area in case of inclement weather. The tent is 13 feet across and stands 8 feet high. What is the lateral area that the tarp would cover?

Question

Mathematics

Tyree Anthony

6 June, 21:55

Suppose you have a conical shaped tent that you will use for camping. You want to bring along a tarp to fully cover the lateral area in case of inclement weather. The tent is 13 feet across and stands 8 feet high. What is the lateral area that the tarp would cover?

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Answers (2)

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Alden Oconnor · Answer 1

about 210.5 ft²

Step-by-step explanation:

The radius of the base of the tent is half the distance across, so is 13/2 = 6.5 ft. The slant height (s) of the tent is found using the Pythagorean theorem:

s = √ (6.5² + 8²) = √106.25 ≈ 10.308 ft

Then the lateral area can be found from the formula ...

LA = πrs = π· (6.5 ft) (10.308 ft) ≈ 210.49 ft²