The screen in a theatre is 22 ft high and is positioned 10 ft above the floor, which is flat. the first row of seats is 7 ft from the screen and the rows are 3 ft apart. you decide to sit in the row where you get the maximum view, that is, where the angle theta subtended by the screen at your eyes is a maximum. suppose your eyes are 4 ft above the floor, and you sit at a distance x from the screen. a) show that theta = arctan(28/x) - arctan(6/x) b) use the subtraction formula for tangent to show that theta = arctan(22x/(x^2) + 168)