Answer:
8.53°
Step-by-step explanation:
Observe the attached image.
The ramp forms an alpha angle triangle with an opposite side of 6 ft and an adjacent side of 40 ft.
We know that the tangent of an angle is defined as:
[tex]tan(\alpha) = \frac{opposite\ side}{adjacent\ side}[/tex]
So:
[tex]tan(\alpha) = \frac{6}{40}[/tex]
To clear the angle we apply the inverse of the tangent (arctangent) on both sides of the equation:
[tex]atan(tan(\alpha)) =atan(\frac{6}{40})[/tex]
[tex]\alpha= atan(\frac{6}{40})\\\\\alpha = 8.53\°[/tex]
