Slope gradient, ramp ratios, and asphalt paving estimators.
Convert rise and run to slope percentage grade, angle degrees, 1:X ratios, and check ADA ramp compliance.
text{Grade}% = frac{text{Rise}}{text{Run}} times 100; quad theta = arctanleft(frac{text{Rise}}{text{Run}}right); quad L_{slope} = sqrt{text{Rise}^2 + text{Run}^2}
Estimate compacted asphalt hot mix tonnage, bitumen tack coat emulsion, and tipper truck haul loads.
M_{asphalt} = L times W times t_{compacted} times rho_{asphalt}; quad rho_{asphalt} approx 2.35 text{ tonnes/m}^3