A golf ball with an initial speed of 50.5 m/s lands exactly 155 m downrange on a level course.

trying to find examples with equations but no luck want to see step by step method on how to get there.

You don't say what it is you are trying to find

The wikipedia article on Trajectory explains all this. The range is
R = v^2/g sin2θ
This will give you the angle at which the ball was hit