Hello!
The sin of D would be the opposite side divided by the hypotenuse. As we have no hypotenuse length, neither A or D would work, as the cosine also involves the hypotenuse.
The tangent is the opposite divided by the adjacent. This would be, in terms of D, 24/31. This does not match our option.
In terms of K, the tangent is 31/24.
Therefore, our answer is C) tanK= 31/24
I hope this helps!