The light beacon of a lighthouse is situated a distance 2.00 km from a long, straight shoreline (shortest distance to the shoreline). the light rotates at a rate of 3.00 rev/minute. at a certain time, the illuminated spot on the shoreline is 4.00 km from the lighthouse. how fast is the illuminated spot moving at that point?

Aboat radioed a distress call to a coast guard station. at the time of the call, a vector a from the station to the boat had a magnitude of 45.0 km and was directed 15.0° east of north. a vector from the station to the point where the boat was later found is = 30.0 km, 15.0° north of east. what are the components of the vector from the point where the distress call was made to point where the boat was found? in other words, what are the components of vector c = b - a?