Given the information shown in the exercise, you can draw the following Right triangle:
Where "α" is the angle of elevation (in degrees).
To find the measure of the angle of elevation of the sun, you must use the following Inverse trigonometric function:
[tex]\alpha=\tan ^{-1}(\frac{opposite}{adjacent})[/tex]
In this case, you can identify that:
[tex]\begin{gathered} opposite=70 \\ adjacent=30 \end{gathered}[/tex]
Therefore, you can substitute values into the equation and evaluate:
[tex]\begin{gathered} \alpha=\tan ^{-1}(\frac{70}{30}) \\ \alpha=66.80\degree \end{gathered}[/tex]
The answer is:
[tex]\alpha=66.80\degree[/tex]
