Question

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

62+b2=242
; 24.7 ft
6 squared plus b squared is equal to 24 squared ; 24.7 ft

242+62=c2
; 24.7 ft
24 squared plus 6 squared is equal to c squared ; 24.7 ft

a2+242=62
; 23.24 ft
A squared plus 24 squared is equal to 6 squared ; 23.24 ft

62+b2=242
; 23.24 ft

Answer 1

6 squared plus b squared is equal to 24 squared

b^2 = 24^2 - 6^2
b^2 = 576 - 36
b^2 = 540
b = √540
b ≈ 23.24 ft

So, the top of the ladder is approximately 23.24 feet up the building.