Question

Chelsea walked up a road that has 15% grade to get to her favorite store. That means the slope of the hill was 15/100. At what angle does the road come up from the ground ?

Answer 1

Answer:

$8.53\°$

Step-by-step explanation:

we know that

The grade of a road can be thought of as rise/run, and you usually see it as a percentage.

So, a 15% grade is the same as a grade of 15/100; for every 15 units the road goes up vertically, it goes 100 units horizontally

see the attached figure to better understand the problem

Let

$\theta$ -----> angle does the road come up from the ground

The tangent of angle theta is equal to the ratio of the opposite side by the adjacent side

$tan(\theta)=\frac{15}{100}$

$\theta=tan^{-1}(\frac{15}{100})=8.53\°$