Answer:
67.38 degrees
Explanation:
this is a right triangle so we can use sohcahtoa
we want to calculate angle A
we know the side opposite to A as well as the hypotenuse. 13 is the hypotenuse because it is opposite the right angle
thus, sin(A) = opposite/hypotenuse = 12/13
arcsin(12/13) = A ≈ 67.38 degrees