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Answer:
30.8, 37
Step-by-step explanation:
First, we know that the angles in a triangle add up to 180, so 180-75-48= m∠G=57°. Then, using sohcahtoa, we have tan(G) = DF/FG = DF/20. tan(G) ≈ 1.54, so 20(1.54)=DF≈ 30.8
Next, using sohcahtoa, we have cos(G) = FG/DG = 20/DG. cos(G)≈0.54, and 20/0.54=DG ≈ 37