How to Calculate the Distance from the Top to the Bottom of a Broken Tree

When a tree breaks at a certain point above the ground but remains attached, we can use the Pythagorean theorem to find the distance from the top to the bottom of the tree. This method involves solving for the length of the hypotenuse of a right triangle, where one side represents the part of the tree that remains standing, and the other side is the distance from the break point to the bottom of the tree.

In the case where a tree 32m high breaks at a point 7m above the ground, forming two parts of 7m and 25m, we can apply the Pythagorean theorem. The standing part of the tree is one side of the right triangle, the distance from the break point to the bottom is the other side, and the hypotenuse is the distance from the top to the bottom of the tree.

The Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. By substituting the known lengths into the equation and solving for the hypotenuse, we can find the distance from the top to the bottom of the broken tree.