To calculate the angle at the base of a hexagonal pyramid, follow these steps:
Calculate the length of the segment MC connecting the side's midpoint to the centroid.
Apply the inverse tangent function to the ratio of the height and the length just calculated: OC/MC.
For a hexagon with side 2 and height 3, it means:
MC = 2 × cos(30°) = 2 × (sqrt(3)/2) = sqrt(3)
α = arctan(3/sqrt(3)) = arctan(sqrt(3)) = 60°
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