A forest ranger spots a fire from the top of a lookout tower. the tower is 160 meters tall and the angle of depression to the fire is 12 degrees. how far is the fire from the base of the tower? round to the nearest meter.

There are three bags: a (contains 2 white and 4 red balls), b (8 white, 4 red) and c (1 white 3 red). you select one ball at random from each bag, observe that exactly two are white, but forget which ball came from which bag. what is the probability that you selected a white ball from bag a?