A Petrol Car Is Parked 40 Feet from a Long $\text { of the car turns at a rate of } 30 \text { revolutions per minute. Write } \theta \text { as a function of } x \text {. }$

A petrol car is parked 40 feet from a long warehouse (see figure) . The revolving light on top $\text { of the car turns at a rate of } 30 \text { revolutions per minute. Write } \theta \text { as a function of } x \text {. }$

A) $\theta = \arctan \left( \frac { x } { 40 } \right)$
B) $\theta = \tan \left( \frac { x } { 40 } \right)$
C) $\theta = \tan \left( \frac { 40 } { x } \right)$
D) $\theta = \arctan \left( \frac { 40 } { x } \right)$
E) $\theta = \arctan ( 40 x )$