A plumb bob is hanging from the ceiling of a car. If the car moves with an acceleration a, the angle made by the string with the vertical is

A

$$\sin^{-1}\left(\frac{a}{g}\right)$$

B

$$\sin^{-1}\left(\frac{g}{a}\right)$$

C

$$\tan^{-1}\left(\frac{a}{g}\right)$$

D

$$\tan^{-1}\left(\frac{g}{a}\right)$$