If you have a 24 foot ladder that is leaning against the building and touching the ground 6 feet from the building. How high up the building is the top of the ladder?
(1 point)
a ^ 2 + 24 ^ 2 = 6 ^ 2 23.24 ft
6 ^ 2 + b ^ 2 = 24 ^ 2 24.7 ft
24 ^ 2 + 6 ^ 2 = c ^ 2 24.7 ft
6 ^ 2 + b ^ 2 =24^ 2 : 23.24 ft
The correct equation to use is 6^2 + b^2 = 24^2.
Rearranging the equation to solve for b, we get:
b^2 = 24^2 - 6^2
b^2 = 576 - 36
b^2 = 540
b = √540
b ≈ 23.24 feet
Therefore, the top of the ladder is approximately 23.24 feet high up the building.