Posted by **Hanu2012** on Sunday, October 14, 2012 at 3:42pm.

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**, Sunday, October 14, 2012 at 3:55pm
the standard 5-12-13 triangle fits the bill, but algebraically,

If the tree broke at height x,

12^2 + x^2 = (18-x)^2

x = 5

- Precalculus -
**Mehtab**, Friday, February 22, 2013 at 12:56am
x^2 + 12^2 = (18-x)^2

x^2 + 144 + x^2 - 36x + 324

144 = -36x + 324

-180 = -36x

-180/-36 = -36x/-36

5 = x

- Precalculus -
**Man**, Sunday, January 25, 2015 at 10:16pm
Mehtab made a slight error in his second step,it was suppose to be = instead or +

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