medal to best ANSWER with explanation

Question

anonymous · Answer

attachment

anonymous · Answer

$$\tan(37)=\frac{x}{3}$$
$$x=3\tan(37)$$

anonymous · Answer

i get $22.61$ http://www.wolframalpha.com/input/?i=3tan%2837+degrees%29

anonymous · Answer

k not quite $2.26$ looks better

anonymous · Answer

i came up with 2.260662

anonymous · Answer

yup

mathstudent55 · Answer

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mathmale · Answer

@nikkicushman1789 : As a Moderator, I'm asking you to stop asking others to do your work for you and to provide you with THE ANSWER. OpenStudy is a place where you can learn how to find your own answers, if you're willing to make the necessary investment of time and effort, and plenty of people here would be eager to help you arrive at your own answers. You might want to read OpenStudy's Code of Conduct: http://openstudy.com/code-of-conduct

mathstudent55 · Answer

For the angle of 37 deg, DE is the opposite leg, and FE is the adjacent leg.
The trig function that relates the opposite leg to the adjacent leg is the tangent function.
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anonymous · Answer

i learn better when it's done in front of me thank you very much!

mathstudent55 · Answer

$ \tan \theta = \dfrac{opp}{adj} $

In our case, 

$\tan 37^o = \dfrac{DE}{3} $

$DE = 3 \tan 37^o$

$DE = 3 \times 0.75355$

$DE = 2.2607$

$DE = 2.3$    (rounded to nearest tenth)

mathmale · Answer

Nikki:  That may be the case, but nevertheless you may not continue offering medals for best answers.  You may ask for guidance towards solving your homework problems yourself.  For example, Mathstudent55 has drawn a diagram for you; you should be able to find the answer to that particular problem yourself.  Once again, please read the Code of Conduct.