Here that would be the angle between OP and the Earth's axis, known as the co-latitude of P.]
If your co-latitude plus the declination of the star is greater than zero, then it will rise above your horizon at least sometime during the year.
Here is a table of the number of daylight hours as a function of the time of year for the first 26 weeks of the solar year, for several co-latitudes in the Northern Hemisphere.
The greatest departures are for beams lying near the limit of our co-latitude range.