A boat is sailing due west, parallel to the shoreline, at a speed of 28mph. At a given time, the bearing from the boat to a lighthouse in the distance is S 72 degrees W. An hour later, the bearing S45°W. To the nearest mile, find the distance from the boat to the lighthouse at the boats second position?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.