For all the problems below, draw a good picture rst, then solve. Write your answers on a separate sheet of paper. 3 A rocket is red at sea level and climbs at a constant angle of 75 through a distance of 10, 000 feet. Approximate its altitude to the nearest foot. . An airline pilot wishes to make his approach to an airstrip at an angle of 10 with the horizontal. If they are ying at an altitude of 5000 feet, approximately how far from the airstrip should they begin their descent? . A 16 foot long ladder is leaning against a wall and making a 60 angle with the ground. Without using your calculator determine exactly how high on the wall the top of the ladder is resting. . An astronomer is studying two distant stars each approximately 12 thousand light years from earth. They nd that the angle spanned by the two stars, with the earth at its vertex, is approximately 74. Estimate the distance between the two stars. . From a point A that is 8 meters above level ground, some distance away from a building, the angle of elevation of the top of the building is 31 and the angle of depression of the base of the building is 12. Approximate the height of the building. (Hint: you will need two equations, as you have two unknowns!)