If the first sentence of the question is true, then both a and c are correct. That's (d).
Note: The mechanical advantage of the rig in the picture is actually only 2, but I guess we can't stop to discuss that right now.
We are given with the data that the angle of velocity is above the negative axis. hence, the angle lies in the second quadrant with negative x axis and positive y axis. In this case, the x component is -12 cos 60 equal to -6 m/s while the y-component is 12 sin 60 equal to 6 sqrt of 3 m/s.
Whatever phase of the moon Ike sees, he can expect to see
the same phase of moon again, after 29.53 days later.