What is the slope of a road with a 7% grade?
Calculating the Slope of a Road with a 7% Grade
The slope of a road is a measure of its steepness, indicating the amount of vertical rise for a given horizontal distance. It is commonly expressed as a percentage or a ratio.
Understanding Road Grade
Road grade is a specific type of slope measurement that refers to the vertical rise in feet per 100 feet of horizontal distance. A 7% grade, for example, means that for every 100 feet of horizontal travel, the road ascends 7 feet vertically.
Calculating the Slope of a 7% Grade
To determine the slope of a road with a 7% grade, we can use the formula:
Slope = Vertical Rise / Horizontal Distance
In this case, the vertical rise is 7 feet, and the horizontal distance is 100 feet. Plugging these values into the formula, we get:
Slope = 7 feet / 100 feet
Slope = 0.07
Interpreting the Slope
The resulting value of 0.07 represents the slope of the road. Since it is less than 1, it indicates that the road has a moderate incline. A slope of 1 or greater would represent a steep incline.
Therefore, the slope of a road with a 7% grade is 0.07, indicating a moderate incline. This means that for every 100 feet of horizontal travel, the road rises 7 feet vertically.
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