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

Find the tangent of ∠V.

Write your answer as an integer or as a decimal rounded to the nearest hundredth.

tan(V) =

PLEASE HELP ASAP CORRECT ANSWER ONLY PLEASE Find the tangent of V Write your answer as an integer or as a decimal rounded to the nearest hundredth tanV class=

Respuesta :

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 can observe in the figure attached 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, rounded it to the nearest hundreth, you get:

[tex]tan(V)=2.92[/tex]