Trigonometric Functions · Challenge problem

A lighthouse stands $500$ m from a straight shoreline. Its beam turns at a constant $3$ revolutions per minute and sweeps a spot of light along the shore. At time $t=0$ the beam points straight at the nearest point of the shore. How far does the spot travel along the shore between $t=2$ s and $t=3$ s? Give your answer in metres, rounded to the nearest hundredth.