A 50 foot ladder leans against a wall and reaches a point that is 48 feet above ground. If you want the ladder
reach 38 feet above the ground instead, how much further do you need to move the base of the ladder away
om the wall? Round to the nearest thousandth. (Day 3 )

To determine how far to move the base of the ladder away from the wall, you can use the Pythagorean theorem. For the original position, the ladder forms a right triangle, where the ladder itself is the hypotenuse (50 feet), the height it reaches (48 feet) is one leg, and the distance from the base of the ladder to the wall is the other leg.

First, calculate the distance from the base of the ladder to the wall when it reaches 48 feet:

feet.

Next, for the new height of 38 feet:

feet.

Now subtract the original distance from the new distance:

feet.

So, you need to move the base of the ladder approximately 18.5 feet away from the wall!