Answer:
#1 Use Pythagorean theorem to solve DF
c²-b²=a²
5.83²-5²=a²
33.9889-25=a²
a²=8.9889
a=3.00 (rounded to nearest hundredth)
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# Use Trigonometry to find the angles
angle D:90
angle E: tan E=3/5
E=tan^-1 (3/5)
E=30.96 (rounded to nearest hundredth)
angle F: tan F=5/3
F=tan^-1 (5/3)
F=59.04 (rounded to nearest hundredth)