if you have a 24 foot latter that is leaning against the building and touching the ground 6 feet from the building how high up is the building is the top of the ladder
The top of the ladder would be 22.8 feet up the building. To calculate this, you can use the Pythagorean theorem: a^2 + b^2 = c^2, where c is the length of the ladder (24 feet), a is the distance from the base of the ladder to the building (6 feet), and b is the height up the building.
6^2 + b^2 = 24^2
36 + b^2 = 576
b^2 = 540
b = √540 = 22.8 feet
Therefore, the top of the ladder is approximately 22.8 feet up the building.