He is 174 yards from the top.
Since we have a 60° angle and a right angle, this is a 30-60-90 triangle. In these triangles, we can label the sides as t, t√3 and 2t, with t being the side opposite the 30° angle (the smallest side); t√3 being the side opposite the 60° angle (the middle side); and 2t being the hypotenuse (the longest side).
Our 87 yard side is across from the 30° angle, so it is t.
The side we are looking for is the hypotenuse, which would be 2t; 2(87) = 174.