Given the right triangle TVW ;
m∠V = 90 , TV = 14 , VW = 9
So, for the angle W :
The side TV represents the opposite
And the side VW represents the adjacent
so,
We can find the measure of angle W using tan function as following :
[tex]\begin{gathered} \tan w=\frac{opposite}{adjacent} \\ \\ \tan w=\frac{TV}{VW} \\ \\ \tan w=\frac{14}{9} \end{gathered}[/tex]