First, draw a right triangle and label angles A and B, and sides a, b, and c including their given lengths. The hypotenuse is side c. Sides a and b are the legs. Here is what you need to know:
sin(x) = opposite leg/hypotenuse
So for angles A and B:
sin(A) = 5/13
sin(B) = 12/13
The other trig functions are:
cos(x) = adjacent leg/hypotenuse
tan(x) = opposite leg/adjacent leg
sec(x) = hypotenuse/adjacent leg
csc(x) = hypotenuse/opposite leg
cot(x) = adjacent leg/opposite leg
Look at your diagram, decide which leg is adjacent to each angle and which is opposite, and simply plug in the numbers. BTW, they are "angles" not "angels". Angels have halos and wings; angles are more devilish.
