To determine the distance to an oil platform in the Pacific Ocean, from both ends of a beach, a surveyor measures the angle to the platform from each end of the beach. The angle made with the shoreline from one end of the beach is 83 degrees, from the other end 78.6 degrees. If the beach is 950 yards long, what are the distances to the oil platform from both ends of the beach? Please help if you can and show all the work so I will learn. Thanks.

Question

To determine the distance to an oil platform in the Pacific Ocean, from both ends of a beach, a surveyor measures the angle to the platform from each end of the beach.  The angle made with the shoreline from one end of the beach is 83 degrees, from the other end 78.6 degrees.  If the beach is 950 yards long, what are the distances to the oil platform from both ends of the beach?  Please help if you can and show all the work so I will learn.  Thanks.