7. The angle of elevation is the angle formed by a horizontal line and a line joining the observer's eye to an object above the horizontal line. A person is 100 feet way from the launch point of a hot air balloon. The hot air balloon is starting to come back down at a rate of 15 ft! sec. At what rate is the angle of elevation, 9, changing when the hot air balloon is 50 feet above the ground. Round answer to 3 decimal places. Balloonl 9, Angle of Elevation Person 100f't 8. Find the root to the function f (x) = x - JC2 - cos 2): using Newton's Method correct to 6 decimal places. Use x, = 1 . Show all work and show the result at each step