The Average Monthly Precipitation P (In Inches), Including Rain, Snow $P = 2.47 \sin ( 0.40 t + 1.80 ) + 2.08,$

The average monthly precipitation P (in inches) , including rain, snow, and ice, for Sacramento, California can be modeled by $P = 2.47 \sin ( 0.40 t + 1.80 ) + 2.08,$ $0 \leq t \leq 12$ where $t$ is the time (in months) , with $t = 1$ corresponding to January. Find the total annual precipitation for Sacramento.

A) $18.02$ in.
B) $17.69$ in.
C) $14.52$ in.
D) $16.57$ in.
E) $18.90$ in.