Make a drawing of the situation:
Recalling the tangent trigonometric relationship, if the angle of inclination is A, then:
[tex]\begin{gathered} \tan (A)=\frac{30\text{ feet}}{5\text{ feet}} \\ \Rightarrow\tan (A)=6 \end{gathered}[/tex]Use the inverse tangent function to find the value of A:
[tex]A=\tan ^{-1}(6)[/tex]Use a calculator to find the numerical value of the inverse tangent of 6:
[tex]A=80.52767779\ldots[/tex]Therefore, the angle of inclination of the Sun is approximately 80.5°.
