How to get a new point of a vector when rotated. I want to obtain the new point of a vector that I rotate like this.
When I rotate them, I have the angle of rotation.
I want to know x and y, it rotates taking the reference point of 0,0 
Thanks

Easy. Let $v=55+0i\in\mathbb{C}$ be your original vector embedded in the complex plane, $w\in\mathbb{C}$ the rotated vector and $\theta=30^\circ$.
Surely, $w=ve^{i\theta\,\pi/180}=\frac{55\sqrt 3+55i}{2}$.
