SOLUTION: Find the length of a ladder leaning against a building if the top of the ladder touches the building at a height of 12 feet. Also, the length of the ladder is 4 feet more than its
Algebra.Com
Question 186234: Find the length of a ladder leaning against a building if the top of the ladder touches the building at a height of 12 feet. Also, the length of the ladder is 4 feet more than its distance from the base of the building.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
12^2+x^2=(x+4)^2
144+x^2=x^2+8x+16
x^2-x^2-8x=16-144
-8x=-128
x=-128/-8
x=16 ft. answer for the length of the base of the ladder from the building.
16+4=20 ft. is the length of the ladder.
Proof:
12^2+16^2=20^2
144+256=400
400=400
RELATED QUESTIONS
Find the length of a ladder leaning against a building if the top of the ladder touches... (answered by checkley77)
a 15 foot ladder leaning against a building touches the wall 12 feet above the ground.... (answered by tommyt3rd,Alan3354)
A ladder is leaning against a building so that the distance from the ground to the top of (answered by jorel555)
A ladder is leaning against the side of a building. The ladder is 6ft. away from the... (answered by Alan3354)
A 25-foot ladder leaning against a building touches the wall 16 feet above the ground.... (answered by jim_thompson5910)
A 10-m ladder is leaning against a building. The bottom of the ladder is 5 m from the... (answered by nerdybill)
A 10-m ladder is leaning against a building. The bottom of the ladder is 5 m from the... (answered by kweeks812)
A 10-m ladder is leaning against a building. the bottom of the ladder is 5m from the... (answered by richwmiller)
A 14 meter ladder is leaning against a building. The bottom of the ladder is 7 meters... (answered by checkley77)