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)
Responses
6^2+b^2=24^2; 24.7 ft
6^2+b^2=24^2; 23.24 ft
24^2+6^2=c^2; 24.7 ft
a^2+24^2=6^2; 23.24 ft
The correct equation is 6^2 + b^2 = 24^2. Solving for b, we get:
36 + b^2 = 576
b^2 = 540
b = √540
b ≈ 23.24 ft
So, the top of the ladder is approximately 23.24 feet up the building.