A 100% slope is equal to how many degrees?

A 100% slope indicates a rise over run ratio of 1:1. In this context, a slope of 1 means that for every one unit of horizontal distance, there is an equal rise of one unit vertically. To translate this into degrees, you can use trigonometric principles.

The tangent of an angle in a right triangle is equal to the opposite side (rise) divided by the adjacent side (run). Therefore, a 100% slope translates to a tangent of 1 (since 1 rise over 1 run equals 1).

To find the angle whose tangent equals 1, you can look for an angle where the opposite and adjacent sides are equal, which corresponds to a 45-degree angle. Therefore, a slope of 100% is equivalent to 45 degrees. Understanding these relationships in trigonometry is essential for interpreting slopes in the context of heavy equipment operations and terrain analysis.