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

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

B 62+b2=242
; 23.24 ft
6 squared plus b squared is equal to 24 squared ; 23.24 ft

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

D a2+242=62
; 23.24 ft

Answer 1

B 62+b2=242 ; 23.24 ft
6 squared plus b squared is equal to 24 squared ; 23.24 ft

The top of the ladder is 23.24 feet up the building.

Answer 2

can you show me the calculations?

Answer 3

Of course! Here are the calculations:

6 squared + b squared = 24 squared
36 + b squared = 576
b squared = 576 - 36
b squared = 540
b = √540
b ≈ 23.24 ft

Therefore, the height of the building where the top of the ladder rests is approximately 23.24 feet.