Answer
The angle of elevation (θ) of the rail = 32 °
Explanation
A skateboard rail rises 5 feet over a run of 8 feet can be represented in a figure as;
What to find:
The angle of elevation (θ) of the rail
Step-by-step solution:
Using trigonometric function; SOH CAH TOA
[tex]tan\text{ }θ=\frac{opposite}{adjacent}[/tex]Opposite = 5 feet and adjacent = 8 feet, then the angle of elevation is calculated as
[tex]\begin{gathered} tan\text{ }θ=\frac{5}{8} \\ \\ tan\text{ }θ=0.625 \\ \\ θ=tan^{-1}0.625 \\ \\ θ=32^0 \end{gathered}[/tex]The angle of elevation (θ) of the rail = 32 °
