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 +

## Answer this Question

## Related Questions

- math - Lighting hit a tree three-eighths of the distance up the trunk from the ...
- math - From 70 feet away from the base of a tree on level ground, the angle to ...
- Math Help - Mieko, who is 1.53 m tall, wishes to find the height of a tree. She...
- math - At a point on the ground 80ft from the base of a tree,the distance to the...
- algebra/math - I need to use a short tree which is 2m in height to find the ...
- math - A woman 5ft 6in tall stands so that the tip of her shadow coincides with ...
- math - A child’s kite is on top of a straight pine tree. A ladder is placed ...
- math - A child’s kite is on top of a straight pine tree. A ladder is placed ...
- CST GEOMETRY - a tree is situated on level ground from a point 135 feet from the...
- maths - A tree broke from a point but did not seperate. If the point from where ...