Solution:
Given:
Since the line from your friend to the hole bisects the angle formed by the lines from your friend to the oak tree and from your friend to the sand trap, then the angles are the same.
Using the angle bisector theorem of a triangle which states that if a ray bisects an angle in a triangle, then it divides the opposite sides of the triangle into segments that are proportional to the other two sides.
This is as shown below;
Hence, applying the angle bisector theorem,

Therefore, the hole from the oak tree is 150yd apart.