Question

a driveway is built on an incline so that it rises 2 meters over a distance of 20 meters. what is the degree measure of the slope of the driveway?

Answer 1

To find the slope you use the trigonometrict function tan:

$\tan \theta=\frac{o}{a}$

o is the opposite leg to the slope

a is the adjacent leg to the slope

$\begin{gathered} \tan \theta=\frac{2}{20} \\ \\ \theta=\tan ^{-1}(\frac{2}{20}) \\ \\ \theta=5.71º \end{gathered}$THen, the slope is 5.71º