mrswagtastic12
mrswagtastic12 mrswagtastic12
  • 03-04-2020
  • Mathematics
contestada

In ΔDEF, the measure of ∠F=90°, ED = 65, FE = 56, and DF = 33. What is the value of the cosine of ∠D to the nearest hundredth?

Respuesta :

calculista
calculista calculista
  • 09-04-2020

Answer:

[tex]cos(D)=0.51[/tex]

[tex]m\angle D=59.49^o[/tex]

Step-by-step explanation:

we know that

In the right triangle DEF

[tex]cos(D)=\frac{DF}{ED}[/tex] ---> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

[tex]cos(D)=\frac{33}{65}=0.51[/tex]

using a calculator

[tex]m\angle D=cos^{-1}(\frac{33}{65})=59.49^o[/tex]

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