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
; 23.24 ft
6 squared plus b squared is equal to 24 squared ; 23.24 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
A squared plus 24 squared is equal to 6 squared ; 23.24 ft
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(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
; 23.24 ft
6 squared plus b squared is equal to 24 squared ; 23.24 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
A squared plus 24 squared is equal to 6 squared ; 23.24 ft
Skip to navigation
Answers
GPT 3.5
24.7 ft
By using the Pythagorean theorem (a² + b² = c²), where "a" is the distance from the building to the point where the ladder touches the ground (6 ft), "b" is the height up the building we are trying to find, and "c" is the length of the ladder (24 ft), we can calculate the height:
6² + b² = 24²
36 + b² = 576
b² = 540
b ≈ 24.7 ft
Therefore, the top of the ladder is approximately 24.7 feet up the building.
By using the Pythagorean theorem (a² + b² = c²), where "a" is the distance from the building to the point where the ladder touches the ground (6 ft), "b" is the height up the building we are trying to find, and "c" is the length of the ladder (24 ft), we can calculate the height:
6² + b² = 24²
36 + b² = 576
b² = 540
b ≈ 24.7 ft
Therefore, the top of the ladder is approximately 24.7 feet up the building.