Days with at least 11 hours of daylight

In a certain location, the number of hours, $h$, of daylight per day is modelled by

$h(t) = 12 - 3\cos\left(\frac{2\pi}{365}(t - 175)\right), \text{ where } t \in Z^+$

where $t$ represents the day of the year. Note that $t = 1$ represents $1$ January.

According to this model, during one year of $365$ days, the number of days for which there are at least $11$ hours of daylight is