A site plan shows an existing 8-inch water main at elevation 245.50 and a proposed connection point at elevation 247.25. The horizontal distance is 150 feet. What is the slope of the water line?
Correct Answer
B) 1.17%
The elevation difference is 247.25 - 245.50 = 1.75 feet. Slope percentage = (1.75/150) × 100 = 1.17%. This represents the upward slope from existing to proposed connection.
Why This Is the Correct Answer
Option B is correct because slope percentage is calculated as (rise/run) × 100. The elevation difference (rise) is 247.25 - 245.50 = 1.75 feet. The horizontal distance (run) is 150 feet. Therefore: (1.75/150) × 100 = 0.0117 × 100 = 1.17%. This represents the upward slope from the existing water main to the proposed connection point.
Why the Other Options Are Wrong
Option A: 1.75%
Option A incorrectly uses just the elevation difference (1.75 feet) as the percentage without dividing by the horizontal distance. This confuses the rise value with the actual slope percentage calculation.
Option C: 2.33%
Option C appears to result from an incorrect calculation, possibly dividing the horizontal distance by the elevation difference (150/1.75 ≈ 85.7) or using an improper formula that doesn't follow standard slope percentage methodology.
Option D: 0.86%
Option D likely results from calculation errors in the slope formula, possibly from incorrect decimal placement or using an inverted ratio that doesn't properly represent the rise over run relationship.
Memory Technique
Remember 'Rise over Run times 100' - like climbing stairs, you measure how much you go UP (rise) compared to how far you go FORWARD (run), then multiply by 100 for percentage.
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