Answer: [tex]tan(V)=2.92[/tex]
Step-by-step explanation:
For this exercise you need to remember the following Trigonometric Identity:
[tex]tan\alpha =\frac{opposite}{adjacent}[/tex]
You must observe the figure given in the exercise.
You can notice that the given triangle UVW is a Right triangle (because it has an angle that measures 90 degrees).
So, you can identify in the figure that:
[tex]\alpha =V\\\\opposite=UW=35\\\\adjacent=VW=12[/tex]
Knowing these values, you can substitute them into [tex]tan\alpha =\frac{opposite}{adjacent}[/tex]:
[tex]tan(V)=\frac{35}{12}[/tex]
Now you must evaluate:
[tex]tan(V)=2.916[/tex]
Finally, rounding to the nearest hundreth, you get:
[tex]tan(V)=2.92[/tex]
