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Horizontal Length from Angle and Slope Length

Calculate the horizontal length (HL) from a slope in degrees and the slope length (SL). Calculator uses the cosine function "The cosine of an angle in a right angled triangle is the ratio that multiplies the slope length and results in the horizontal length."

Horizontal Length from Angle and Slope Length

Formula: HL = cosine(degrees * π ÷ 180) * SL

Example calculation

slope angle = 18.2°
length of slope line = 14' 11" converted to inches --- 12 * 14 + 11 = 179"
converting the degrees to radians
18.2 * π/180 = 0.3176499
using the cosine function to get the ratio
cos(0.3176499) = 0.94997
multiplying the slope length by the cosine ratio
179 * 0.94997 = 170" (rounded) = 14' 2" The horizontal distance is 14' 2"

Horizontal Length from Angle and Slope Length

Slope Angle °
Slope Length ft in
Decimal Precision #

Results:

Horizontal Length ft in

Calculation

  1. slope in degrees
  2. slope line length
  3. number of digits in result

Result

  1. the horizontal length


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