Answer:
42 feets
Step-by-step explanation:
We consider the right-angle triangle with B being the right-angle:
AB = 24 ft ; AC = 45 ft
We can use the Pythagorean theorem:
[tex]AB^{2} = AB^{2} + BC^{2} \\45^{2} = 24^{2} + BC^{2} \\BC^{2} = 2025 - 576\\BC = \sqrt{1449} = 38[/tex]
The distance between the wall and the ladder is 38 feet.
Pulling the ladder away from the wall is adding 4 feet to the distance between the wall and the ladder.
38 + 4 = 42
The ladder is now 48 feet away from the wall at its bottom.
