The trigonometry ratios are
![\begin{gathered} SinD=(AK)/(KD) \\ \\ tanD=(AK)/(AD) \\ \\ tanK=(AD)/(AK) \\ \\ cosK=(AD)/(KD) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/714jdknlk7vhdbhzjk1gssvzrgcse0ayig.png)
AD = 31
AK = 24
Since we do not have the length of KD, then
The value of sinD and cosK are wrong
Let us find tanD and tanK to check which one is right
![tanD=(24)/(31)](https://img.qammunity.org/2023/formulas/mathematics/college/dfbkj9a6m1ps1qawjldli9cnbuxuz23ohz.png)
But the given value is 31/24, then tanD is wrong
![tanK=(31)/(24)](https://img.qammunity.org/2023/formulas/mathematics/college/2d2lkrg2dlb73ziz8bggbu616kfjseqsii.png)
It is the same with the given value
The correct option is C