Answer:
tan A = 6/5
Explanation:
They give you cscA. This gives you info to also know sinA. csc and sin are reciprocals (just flip csc over to find sin).
Also, sin is OPP/HYP.
This means that
sin A is 6/root61.
6 is the side opposite from A. And root61 is the hypotenuse.
We can use pythagorean thm to find the other leg of the triangle.
see image.
tan A = OPP/ADJ
tan A = 6/5