Problem

A road has a gradient of 12%. What is the angle of this road in degrees?

Answer

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Answer

\( \text{angle} = \arctan\left(\frac{12}{100}\right) \)

Steps

Step 1 ：We know that the gradient of a road is the rise divided by the run. In this case, the rise is 12 units for every 100 units of run. This gives us the tangent of the angle the road makes with the horizontal.

Step 2 ：So, we can calculate the angle using the inverse tangent function (also known as arctan or atan).

Step 3 ：\( \text{angle} = \arctan\left(\frac{12}{100}\right) \)

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