Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Answer 1

Answer:  $tan(V)=2.92$

Step-by-step explanation:

For this exercise you need to remember the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

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:

$\alpha =V\\\\opposite=UW=35\\\\adjacent=VW=12$

Knowing these values, you can substitute them into  $tan\alpha =\frac{opposite}{adjacent}$:

$tan(V)=\frac{35}{12}$

Now you must evaluate:

$tan(V)=2.916$

Finally, rounding to the nearest hundreth, you get:

$tan(V)=2.92$