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  2. Grade (slope) - Wikipedia

    en.wikipedia.org/wiki/Grade_(slope)

    The 50‰ grade is equivalent to 50 m/km or 5%. There are several ways to express slope: as an angle of inclination to the horizontal. (This is the angle α opposite the "rise" side of a triangle with a right angle between vertical rise and horizontal run.)

  3. Interstate Highway standards - Wikipedia

    en.wikipedia.org/wiki/Interstate_Highway_standards

    Maximum grade: The maximum permissible vertical angle, or grade, along the highway is determined from terrain and design speed, [4] with up to 6% generally allowed in mountainous areas, 5% in rolling terrain, and 4% on level terrain. An additional 1% is allowed in urban areas.

  4. List of steepest gradients on adhesion railways - Wikipedia

    en.wikipedia.org/wiki/List_of_steepest_gradients...

    (4.5%) Balsam Mountain Grade, Balsam N.C. Balsam Mountain, home of highest railroad station east of the Rockies; average grade about 4.0%, max 4.5%. 1 of 2 grades on southern railways former Murphy branch that are +4% grade. Balsam Mountain has seen many runaways. It is still in service operated by the Blue Ridge Southern Railroad .

  5. Small-angle approximation - Wikipedia

    en.wikipedia.org/wiki/Small-angle_approximation

    The sine and tangent small-angle approximations are used in relation to the double-slit experiment or a diffraction grating to develop simplified equations like the following, where y is the distance of a fringe from the center of maximum light intensity, m is the order of the fringe, D is the distance between the slits and projection screen ...

  6. Most California students fall short of grade-level standards ...

    www.aol.com/news/most-california-students-fall...

    Billions of dollars in state and federal pandemic relief have yet to pay academic dividends with K-12 students, although officials remain optimistic.

  7. Geometric design of roads - Wikipedia

    en.wikipedia.org/wiki/Geometric_design_of_roads

    Sag vertical curves are curves which, when viewed from the side, are concave upwards. This includes vertical curves at valley bottoms, but it also includes locations where an uphill grade becomes steeper, or a downhill grade becomes less steep. The most important design criterion for these curves is headlight sight distance. [2]

  8. Roof pitch - Wikipedia

    en.wikipedia.org/wiki/Roof_pitch

    Greek: the ridge height is 1 ⁄ 9 to 1 ⁄ 7 the span (an angle of 12.5° to 16°); Roman: the ridge height is 2 ⁄ 9 to 1 ⁄ 3 the span (an angle of 24° to 34°); Common: the rafter length is 3 ⁄ 4 the span (about 48°); Gothic: the rafters equal the span (60°); and; Elizabethan: the rafters are longer than the span (more than 60°). [7]

  9. Angle of repose - Wikipedia

    en.wikipedia.org/wiki/Angle_of_repose

    Angle of repose of a heap of sand Sandpile from the Matemateca collection. The angle of repose, or critical angle of repose, [1] of a granular material is the steepest angle of descent or dip relative to the horizontal plane on which the material can be piled without slumping. At this angle, the material on the slope face is on the verge of ...