Fred and Mary, a survey crew with pressure to get data quaickly,came back to the office with the data described below:

They surveyed a 5-sided closed loop traverse with corners A-E.

The azimuth of AB = 332º07'00"

At A, Mary sighted on point B and measured angle BAE by turning an angle to the right. The angle BAE is 113º42'00". Then, they measured distance AB as 300.11 ft.

Mary then set up a B and sighted back to A and turned an angle to the left of 95º44'00" to point C. The distance BC was recorded as 412.54 ft.

At point C, they backsighted to B and turned an angle to the left of 109º58'00" to point D. The distance CD was recorded as 369.12 ft.

At point D, Fred measured the distance to point E, the final point, to be 405.27 ft. The noon whistle sounded (you may have to have a little "small town" in you to appreciate the noon whistle), so they left in a hurry without measuring the angle CDE or setting up at point E. They thought they could just compute the missing values

Question

1) Find angle CDE

2) Find angle DEA

3) Find length EA