Answer: [tex]67.68^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\angle W=90^{\circ}[/tex]
[tex]VW=32\ ft[/tex]
[tex]WU=78\ ft[/tex]
from the figure, we can write
[tex]\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}[/tex]