ruth’s boat has come untied and floated away on a lake. she is standing on top a cliff that is 35 feet above the water in the lake, if she stands 10 feet from the edge of the cliff she can visually align the top of the cliff with the water at the back of her boat. here eye level is 5.5 feet above the ground. approximately how far out from the cliff is Ruth’s boat?

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.