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 row are 3 ft apart. you decide to sit in the row where you get the maximum view, that is, where the angle thetha subtented by the screen at your eyes is a maximum. suppose your eyes are 4 ft above the floor, as in the figure, and you sit at a distance x from the screen.

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.