During the initial planning for a new roadway, a surveyor was asked to layout the straight line "AF" shown in the figure below.  However, while laying out line "AF" a dense wooded area along the line of sight was encountered.  The surveyor decided to make a few measurements to go around the obstruction.  The angles and distances measured by the surveyor are shown in the figure below.

Determine the distance "DE" that the surveyor will need to measure out to get back to the straight line at point "E".

Determine the angle that the surveyor will need to turn at point "E" to get back onto the straight line "AF".

Determine the distance "BE" along the straight line that was bypassed.