The value of sin(e) in the given right angle triangle DEF is 3/5
Given the Right angle DEF,
It is not specified whether angle D= angle F =90°.
Based on the alternatives presented, either base and altitude =3 or 4 and
5 is the hypotenuse.
Case 1. When ∠D=90° In Δ E D F
Sin (E) =altitude/hypotenuse
= 3/5 OR 4/5 [ if base=3, then altitude =4 and if Base =4, Altitude=3]
Case 2. When ∠F=90°, In ΔEFD
Sin (E) =altitude/hypotenuse
= 3/5 or 4/5 [Depending on whether Base =3 then altitude =4, OR Altitude =3 , then Base =4]
Looking at all of the possibilities, 3/5 and 4/5 are accurate.
However, the solution is 3/5, so whether you pick angle D or angle F as 90°, take Altitude=3, Hypotenuse =5, and Base=4.
Learn more about the right triangle here: brainly.com/question/1248322
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