Posted by Hanu2012 on .
An 18 m tall tree is broken during a severe storm. The distance from the base of the trunk to the point where the tip touches the ground is 12 m. At what height did the tree break?

Precalculus 
Steve,
the standard 51213 triangle fits the bill, but algebraically,
If the tree broke at height x,
12^2 + x^2 = (18x)^2
x = 5 
Precalculus 
Mehtab,
x^2 + 12^2 = (18x)^2
x^2 + 144 + x^2  36x + 324
144 = 36x + 324
180 = 36x
180/36 = 36x/36
5 = x 
Precalculus 
Man,
Mehtab made a slight error in his second step,it was suppose to be = instead or +