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?

Question

(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

Answer 1

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.