During the initial planning of a new roadway, a surveyor was asked to lay out the straight line "AF" shown in the figure below. However, while laying out the "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.
To be turned at "E" to get back on line.
Express distances to the nearest 0.01 ft. and the angle to the nearest second.