If the 24 foot ladder is leaned on the house with the bottom 8 feet from the base the wall of the house, then it will form a right angled triangle.
The base of the triangle will be 8 feet while the 24 foot ladder forms the hypotenuse. We need to find out the height from the base of that wall to the point the ladder touches the wall.
Let the hypotenuse be C
Let the base be B
Let the height be A
We use this formula: A squared + B squared = C squared
A sq + 8 sq = 24 sq
A sq + 64 = 576
A sq = 576 - 64
A sq = 512
A = Square root 512
A = 22.6
To the nearest 10th this will be 23
So the answer is 23 feet.
