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The Dope on Slope

We all recognize a 45-degree (45°) angle, which is a common diagonal, miter, triangle, or pyramid. But what does one make of a 12 pitch, a 1:1 slope, a vertical slope, or a 100% grade? These are all the same angle, as described in the vernacular of different trades. For the nonmathematician (but math-curious), the author presents a primer regarding slopes, discusses common roof-slope terminology, and has assembled a user-friendly diagram of various construction slopes and their relationships.

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