SOLUTION: Ebenezer wants to paint his house. He places a 60 cm. ladder against his house. The base of teh ladder is 11 cm. from the house. How high on the house does the ladder reach? i also

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Ebenezer wants to paint his house. He places a 60 cm. ladder against his house. The base of teh ladder is 11 cm. from the house. How high on the house does the ladder reach? i also      Log On

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Question 290446: Ebenezer wants to paint his house. He places a 60 cm. ladder against his house. The base of teh ladder is 11 cm. from the house. How high on the house does the ladder reach? i also need to draw a picture of the house and the ladder on a 45 cm. paper?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
The ladder will form a right triangle with the house and the ground.
The ladder will be the hypotenuse
The side of the house will be the height of the house where the ladder meets it.
The base will be the distance from the ladder and the house along the ground.
So set up the Pythagorean theorem.
a^2+b^2=c^2
c=60
b=11
a^2+11^2=60^2
Solve for a
Reject the negative answer.
Use only the positive answer.