SOLUTION: a ladder is leaning against a building, the length is 21 feet tall. the height at which the ladder is resting on the building is 6 feet less than the distance the base of the ladde

Algebra ->  Trigonometry-basics -> SOLUTION: a ladder is leaning against a building, the length is 21 feet tall. the height at which the ladder is resting on the building is 6 feet less than the distance the base of the ladde      Log On


   

Question 977693: a ladder is leaning against a building, the length is 21 feet tall. the height at which the ladder is resting on the building is 6 feet less than the distance the base of the ladder is from the side of the building. what height is the ladder resting on the building?

Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
Let height be h,
distance from base to wall = h+6
Lengh of ladder = 21 feet,
So,
h%5E2%2B%28h%2B6%29%5E2+=+21%5E2
=> 2h%5E2+%2B+12h+-+27%2A15+=+0
=> h = 11 (approx.)