If you were my kid, I'd ask you how much the shoes were. I actually ask myself a similar question when I get asked to buy a combo- if I want a burger and drink, they'll ask if I want fries. It would literally cost me like .10 for the fries. I won't eat them but I can give them to a student or something so, sure, I'll get the combo.
Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):
Multiples of 15 are: 15,30,45,60,75,90,105,120,135,150,165,180,195,210,225,240,255,270,285,300,315,330,345,360,375,390,405,420,435,450,465,480,495,510,525,540,555,570,585,600,615,630,645,660,675,690,705,720,735,