SOLUTION: Quadratic Equations 14. A ladder is 6m long. If the height of the top of the ladder must be no greater than 10 times the distance from the base to the wall, how high up a wall can

Question 198393: Quadratic Equations
14. A ladder is 6m long. If the height of the top of the ladder must be no greater than 10 times the distance from the base to the wall, how high up a wall can the top of the ladder be placed? Include a diagram in your solution. Round to the nearest millimeter.
Thanks!!!!###
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let the base=b and the height=10b
a^2+b^2=c^2
(10b)^2+b^2=6^2
100b^2+b^2=36
101b^2=36
b^2=36/101
b=sqrt(36/101)
=.5970223141
10b=5.970 m
.
Ed
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