Answer:
Distance from the top of the ladder to the floor = 14.14 ft
Step-by-step explanation:
The ladder forms a right-angled triangle with the floor and the wall where:
The ladder is the hypotenuse = 15 ft
The distance between the ladder and the wall is the base = 5 ft
We will use the Pythagorean theorem to get the third side of the triangle which represents the distance between the top of the ladder and the floor as follows:
15^2 = 5^2 + distance^2
Distance^2 = 225-25 = 200
Distance from the top of the ladder to the floor = sqrt(200) = 14.14 ft
Hope this helps :)