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What is the angle of a 100% slope?

30 degrees

45 degrees

A 100% slope indicates a rise of 100 units for every 100 units of horizontal run, resulting in a slope ratio of 1:1. To convert this slope ratio into an angle, one can use trigonometric principles, specifically the tangent function.

The tangent of an angle in a right triangle is defined as the ratio of the opposite side to the adjacent side. For a slope of 1:1, the tangent of the angle would be calculated as the rise (1) over the run (1). Thus, the tangent of the angle is 1.

The angle whose tangent is equal to 1 is 45 degrees. This means that when a slope is 100%, it indeed corresponds to an angle of 45 degrees. Understanding this relationship is crucial for interpreting slope values in various construction and engineering contexts, where precise measurements and angles are vital for structural integrity and design.

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90 degrees

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