A Petrol Car Is Parked 50 Feet from a Long $\theta = 45 ^ { \circ }$

A petrol car is parked 50 feet from a long warehouse (see figure) . The revolving light on top of the car turns at a rate of 30 revolutions per minute. How fast is the light beam moving along the wall when the beam makes an angle of $\theta = 45 ^ { \circ }$ with the perpendicular from the light to the wall.

A) $1600 \pi \mathrm { ft } / \mathrm { sec }$
B) $180 \pi \mathrm { ft } / \mathrm { sec }$
C) $2500 \pi \mathrm { ft } / \mathrm { sec }$
D) $400 \pi \mathrm { ft } / \mathrm { sec }$
E) $100 \pi \mathrm { ft } / \mathrm { sec }$