A sailboat has a mast which is reclined 30 degrees away from the vertical. Right next to that mast is a strong laser sending a beam of light, parallel to the mast (i.e., also 30 degrees backwards from the vertical, as measured in the boat's own rest system).

This sailboat is mighty fast: it sails with a velocity of 1/2 c (speed of light) with respect to the shore. Determine the angles with respect to the vertical of both the mast and the laser beam, for an observer on shore. (Watch out! The answer is different for the mast than for the light beam!)