A railroad car travels at $30$ $m/s$ due East, as shown in the image below. A softball pitcher stands on the top of the car and faces approximately East. She throws a ball horizontally at $35$ $m/s$ relative to the car, at an angle of $20$ degrees to the axis of the railroad car. What is the velocity of the ball relative to the ground?

A. $12.3$ $m/s$ at $76$ degrees N of E
B. $12.3$ $m/s$ at $14$ degrees W of N
C. $64.0$ $m/s$ at $11$ degrees N of E
D. $58.0$ $m/s$ at $20$ degrees N of E
E. $30.0$ $m/s$ due E