Which of the following is correct based on this picture? A. tanK=3124B. tanD=3124C. sinD=3124D. cosK=3124ALL CHOICES ARE IN FRACTIONS!

If we look at the options, we must use basic trigonometrical functions. So, having D as the reference point, we count with the opposite side and the adjacent side, the function that relates those sides is tan. That is,
[tex]tan(D)=\frac{co}{ca}=\frac{24}{31}[/tex]This result is not within the options but if we now consider K as the reference point, we get that
[tex]tan(K)=31/24[/tex]Thus, the correct answer is A.tanK=3124.