SOLUTION: Ladder Height. A 10-m ladder is leaning against a building. The bottom of the ladder is 5m from the builder. How high is the top of the ladder?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Ladder Height. A 10-m ladder is leaning against a building. The bottom of the ladder is 5m from the builder. How high is the top of the ladder?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 112644: Ladder Height.
A 10-m ladder is leaning against a building. The bottom of the ladder is 5m from the builder. How high is the top of the ladder?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
a^2+b^2=c^2
a^2+5^2=10^2
a^2+25=100
a^2+25-25=100-25
a^2=75
a=sqrt(75) sqrt of both sides
a=sqrt(25*3)
a=5sqrt(3) m or 8.66... m
Ed