Question

Sole the triangle by finding the length of DF and the measures of all the angles

Answer 1

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)