$\"\"$

Let $\"\"$ be the distance from tree to first measuring point and $\"\"$ be the height of the tree.

$\"\"$

Find the height of the tree :

The height of the tree can be calculated from either side by using $\"\"$ .

From the first measurement : $\"\"$ .

$\"\"$

From the second measurement : $\"\"$ .

$\"\"$

We have two expressions both equal to height $\"\"$ , so set them equal to each other and solve for $\"\"$ .

$\"\"$

Therefore, the distance is $\"\"$ .

$\"\"$

The height of the tree : $\"\"$ .

$\"\"$

The height of the tree is $\"\"$ .