1. A rocket shoots straight up from the launchpad. Five seconds after liftoff, an observer two miles away notes that the rocket's angle of elevation is4.5. Four seconds later, the angle of elevation is39. How far did the rocket rise during those four seconds? (Round your answer to two decimal places.)
2. One plane flies straight east at an altitude of29,000feet. A second plane is flying west at an altitude of17,000feet on a course that lies directly below that of the first plane and directly above the straight road from Thomasville to Johnsburg. As the first plane passes over Thomasville, the second is passing over Johnsburg. At that instant both planes spot a beacon next to the road between Thomasville to Johnsburg. The angle of depression from the first plane to the beacon is65, and the angle of depression from the second plane to the beacon is28. How far is Thomasville from Johnsburg? (Round your answer to two decimal places.)