On a grading plan, existing contours are shown at 2-foot intervals. If the building pad elevation is 45.5 feet and the adjacent contour lines are at 44 feet and 46 feet, what can you determine about the site slope in this area?
Correct Answer
A) Cannot determine slope without horizontal distances
While you know the vertical change (2 feet between contours), you cannot calculate the slope percentage without knowing the horizontal distance between the contour lines. Slope = rise/run × 100.
Why This Is the Correct Answer
To calculate slope percentage, you need both the vertical rise and the horizontal run between points. The formula is slope = (rise/run) × 100. While we know the vertical interval between contours is 2 feet, contour lines can be spaced at varying horizontal distances depending on the terrain steepness. Without knowing the actual horizontal distance between the 44-foot and 46-foot contour lines on the plan, it's impossible to determine the slope percentage.
Why the Other Options Are Wrong
Option B: The slope is steep with greater than 15% grade
This assumes a different slope range but still lacks the horizontal distance component required for slope calculation.
Option C: The slope is moderate with 5-15% grade
This assumes the steepest slope range but cannot be determined without knowing the horizontal spacing between contour lines.
Memory Technique
Remember 'RR' - Rise and Run are both Required for slope calculations. No horizontal distance = no slope calculation possible.
Reference Hint
Florida Building Code Chapter 18 - Soils and Foundations, or site development/grading sections in construction reference materials
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