The document explains how to calculate slope, which represents the change in elevation between two points. It describes the formula for percent slope as (rise / run) x 100 and provides details on calculating the slope angle using inverse tangent. Several practical examples illustrate different scenarios of rise and run measurements.

1. Slope calculation
Lecture 2
practical

2. slope
• Slope is a measure of change in elevation.
• The slope is one of the essential characteristics of a line and
helps us measure the rate of change.
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4. Slope calculation
• To calculate percent slope, divide the difference
between the elevations of two points by the distance
between them, then multiply the quotient by 100. The
difference in elevation between points is called the
rise. The distance between the points is called the
run. Thus,
• percent slope equals (rise / run) x 100.
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6. Slope angle
• Angle of slope represents the angle that’s formed between
the run and your climb’s angular deviation from that
idealized flat surface.
• To calculate this, you divide the rise divided by the run, and
then obtain the inverse tangent of the result
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8. Example
Example: let’s assume your climb gains 1,000 m in altitude (the rise)
and the horizontal distance as measured on the map is 2,000 m (the
run)
Example: let’s assume your climb gains 500 m in altitude (the rise)
and the horizontal distance as measured on the map is 3,000 m (the
run)..
Example: let’s assume your climb gains 700 m in altitude (the rise)
and the horizontal distance as measured on the map is 500 m (the
run).
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