Is A supposed to be counter-clockwise from the -y-axis? This is the way you have drawn it and is the only way the x-component can be negative.
Otherwise, your hunch about using the tangent function is a good one...
Vector A is in the direction 34.0 degrees clockwise from the -y axis. The x-component of vector A is Ax = - 16.0m
What is the y-component of vector A?
Im not sure how to solve it since the magnitude is not known. CI drew a picture of how i think its suppose to be.
Can someone help me set it up and how they got that answer?
I think since the hypotenuse is not known i use tan somehow.