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Question about Spatial Geometry: Metric Relations of the Cylinder

Mathematics

Originais Teachy

Spatial Geometry: Metric Relations of the Cylinder

Very Hard

(Originais Teachy 2023) - Question Very Hard of Mathematics

A right cylinder with a radius of 6 cm and a height of 10 cm is being used in a laboratory experiment. A straight line is drawn from a point A on the lower base of the cylinder to a point B on the upper base, such that the line forms a 30-degree angle with the height of the cylinder. Calculate the distance between points A and B, justifying all steps based on the cylinder's metric relationships and considering the sine and cosine of 30 degrees as precisely 1/2 and square root of 3/2, respectively.

Answer sheet:

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