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True thickness: limestone vertical 600 m
Short answer
True thickness = vertical thickness × cos(dip) = 600 cos50° = 385.7 m.
Calculate the true thickness of limestone bed having vertical thickness 600 m at North 75°E/50° NW in an area of 550 km².
Principle: the vertical thickness (as in a vertical hole) is converted to the true thickness (perpendicular to bedding) by
where is the dip of the bed. The strike (N75°E) and dip direction (NW) do not affect the thickness; only the dip amount, , is needed.
Calculation
Answer: true thickness of the limestone = 385.7 m.
Volume under 550 km² (for reserve)
(taking the 550 km² as the area measured on the bed).
✓ Answer checked by Claude Opus 5.5 (high effort)
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