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

1 answer

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.