$\"\"$

The sum of the angles in any triangle is $\"\"$ .

The length of side is $\"\"$ .

The two angles are $\"\"$ and $\"\"$ .

Draw the triangle with above specifications.

$\"\"$

The sum of the angles in any triangle is $\"\"$ .

The remaining angle $\"\"$ .

Law of sines: $\"\"$ .

$\"\"$

$\"\"$ .

Therefore, the distance the golfer needs to putt is $\"\"$ .

$\"\"$

The distance the golfer needs to putt is $\"\"$ .