Explanation
Step 1
we have a rigth triangle, then
Let
[tex]\begin{gathered} \text{angle}=\emptyset \\ \text{adjacent side=14} \\ \text{opposite side= 12} \end{gathered}[/tex]hence, we need a function that relates, angle, adjacent side and opposite side
[tex]\tan \emptyset=\frac{opposite\text{ side}}{\text{adjacent side}}[/tex]now, replace.
[tex]\begin{gathered} \tan \emptyset=\frac{opposite\text{ side}}{\text{adjacent side}} \\ \tan \emptyset=\frac{12}{\text{1}4} \\ \tan \emptyset=\frac{6}{7} \\ In\text{verse tan in both sides} \\ \tan ^{-1}(\tan \emptyset)=\tan ^{-1}(\frac{6}{7}) \\ \emptyset=40.60\text{ \degree} \end{gathered}[/tex]I hope this helps you
