Answer:AStep-by-step explanation:GivensThe board has been placed 1/2 the length of the 10 foot ladder across to 1/2 the length of the 15 foot ladder. That means that the rung holding the board on the 10 foot ladder is 1/2 up the length of the 10 foot ladder. That makes the hypotenuse of the small triangle = 5The distance from where the ladders meet to the paint = xFind xx^2 + 3^2 = 5^2x^2 + 9 = 25 Subtract 9 from both sidesx^2 = 25 - 9 Combinex^2 = 16 Take the sqrt of both sidesx = 4Find the heightThe ratio of all dimensions involving the 2 ladders and the board is 1 to 2.So the total height from where the ladders meet to the ground is 2*4 = 8Answer: The distance from the bucket to the ground is 1/2 * 8 = 4Answer: A