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Answer:
Sin (E) = √74/(2√23)
Step-by-step explanation:
Reference Angle = E
Hypotenuse = 2√23
Adjacent = 3√2
Opposite = DC = √(2√23)² - (3√2)²) = √(4*23 - 9*2) = √(92 - 18) = √74 (pythagorean theorem)
Recall SOHCAHTOA.
Thus,
Sin (E) = opp/hyp
Sin (E) = √74/(2√23)