# 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.*"

**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

#### Calculation

- slope in degrees
- slope line length
- number of digits in result

#### Result

- the horizontal length

### Excavation Calculators

##### Imperial

Number of TruckloadsFuel Consumption for Operating a Machine

Shrink and Load Factor

Spike's Compaction Factor

Swell and Load Factor

Swell and Shrinkage of Excavated Materials

Calculate the Volume of a Pile in Cubic Yards

Calculate the Volume of a Pile in Cubic Yards - Cone Shaped

##### Metric

Number of Truckloads (Metric Measurements)Calculate the Volume of a Pile in Cubic Metres

Calculate the Volume of a Pile in Cubic Metres - Cone Shaped

##### Information

Bulking/Swell Factors for Various Excavated/Mined Materials##### New

- Elevation Grade from a Percentage
- Elevation Grade from Inches per Foot
- Elevation Grade Slope in a Percentage, Millimetres
- Horizontal Length from Angle and Slope Length
- Grade Percentage to Angle in Degrees
- Vertical Depth from a Slope Percentage and Horizontal Length
- Amount of Material from a Rectangle Shaped Excavation