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

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

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

a2+242=62
; 23.24 ft

Answer 1

24 squared plus 6 squared is equal to c squared

24 ft x 24 ft = 576 sq ft; 6 ft x 6 ft = 36 sq ft

576 sq ft + 36 sq ft = 612 sq ft

c squared = 612 sq ft

Taking the square root of 612 sq ft gives:

c = 24.7 ft

Therefore, the top of the ladder is 24.7 feet up the building.