A fire fighter directs a stream of water from a fire hose into the window of a burning building. The window is 20.0 m above the level of the nozzle and 60.0 m away. The hose produces a jet of water at a constant nozzle speed of v0 = 30.0 m/s. The fire fighter can control the angle θ0 that the water is aimed at by moving the nozzle with her hands. (a) The fire fighter discovers that there are exactly two angles θ0 that she can hold the hose for which the water gets into the window. What are the two angles? (b) The fire fighter further discovers that if she backs slowly away from the building there is a distance Dmax where there is only one angle θm which gets the water into the window. If she goes any farther back, she cannot get the water into the window at all. Find Dmax and θm.