A ship's sonar locates wreckage at a 15° angle of depression below the water, as pictured. A diver is lowered 50 meters to the ocean floor.
Write a equation to determine the horizontal distance between the diver and the wreckage. How far is the diver from the wreckage? Round your answer to the nearest hundredth. What trig function is used for this?

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.