A 12 foot ladder is leaning on a wall, slowly sliding down. If the bottom of the ladder is sliding down away from the wall at 1/2 ft/sec, how fast is the top of the ladder sliding down the wall, when the bottom of the ladder is 8 feet away from the wall?

a = 11 : 4

b = 38

c = 1 for every 6

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)