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# Given right triangle DEF what is the value of sin(E)? 3/5 3/4 4/5 4/3 ANSWER IS 3/5

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Response:Given Right Δ DEF,Which is not a given that if ∠D=∠F =90°As a look at the options that it offers , Either of the Base and height =3 or 4 and the Hypotenuse =5, the Case 1. When ∠D=90°In Δ And D FSin (E) = = 3/5 Or 4/5 [ if base=3, altitude =4, and if the Base =4, Height=3]Case 2. When ∠F=90°, In ΔEFD Sin (E) = = 3/5 or 4/5 [Depending on if Base =3 then height =4, Or the Altitude =3 , then the Base =4]So looking at all the options of 3/5 and 4/5 are the correct answers.But given that the answer is 3/5 , so if you take ∠D or ∠F 90° take Altitude=3 and the Hypotenuse =5 and base =4.