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Triangle DEF contains right angle E. If angle D measures 55° and its opposite side measures 7.6 units, what is the measure of side
DF? Round your answer to the nearest hundredth.

A. 5.34 units
B. 6.38 units
C. 9.06 units
D. 9.28 units

Respuesta :

semsee45

Answer:

D. 9.28 units

Step-by-step explanation:

DF is the hypotenuse of the triangle.

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b}[/tex]

[tex]\implies \frac{sin(55)}{7.6} =\frac{sin(90)}{DF}[/tex]

[tex]\implies DFsin(55) =7.6sin(90)[/tex]

[tex]\implies DF =\frac{7.6sin(90)}{sin(55)}[/tex]

[tex]\implies DF =9.277886875...[/tex]

[tex]\implies DF =9.28\ \textsf{units (nearest hundredth)}[/tex]

Razedl

Answer:

D. 9.28

Step-by-step explanation:

Because I said so and cause of the guy above me who is correct, I definetely didn't get his answer and put it on mine.  

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