help 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 f
t 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)
<span>(a.) Let's say α is the angle that subtends from the top of the screen to horizontal eye-level. Let β be the angle that subtends from the bottom of the screen to horizontal eye-level.
