Respuesta :

sherry318
Draw out the triangle DEF, FE would be the hypothenuse, angle F would be one of the base angles, and DE is the opposite side length. To find the length of DE, use trig so 5 • sin 40 = 3.7
carlosego

For this case, we have that by definition:

[tex]Sine (A) = \frac {Cathet \ opposite \ a \ A} {Hypotenuse}[/tex]

So:

[tex]Sine (F) = \frac {DE} {FE}[/tex]

We have to:

[tex]F = 40 \ degrees\\FE = 5[/tex]

Substituting:

[tex]Sine (40) = \frac {DE} {5}\\DE = Sine (40) * 5\\DE = 0.64278761 * 5\\DE = 3.21393805[/tex]

Rounding:

[tex]DE = 3.2[/tex]

Answer:

[tex]DE = 3.2[/tex]

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