$\"\"$

The tower forms an angle of $\"\"$ with the ground.

Let $\"\"$ be the distance from the ranger to the tower.

Draw the related diagram:

$\"\"$

From the diagram:

In triangle $\"\"$ , $\"\"$ .

Using sine rule: $\"\"$ .

$\"\"$

$\"\"$ .

The range is about $\"\"$ from the tower.

$\"\"$

The range is about $\"\"$ from the tower.