scarletwolf345
scarletwolf345 scarletwolf345
  • 16-05-2020
  • Mathematics
contestada

How long is DE?

Any help will be appreciated thank you

How long is DE Any help will be appreciated thank you class=
How long is DE Any help will be appreciated thank you class=

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Snowphie101
Snowphie101 Snowphie101
  • 16-05-2020

Answer: 4

Step-by-step explanation:

solve for the missing angle

the total degrees a triangle can have is 180 so

[tex]180-90-60=30[/tex]

use law of sines to solve for x

[tex]\frac{x}{sin30} =\frac{4\sqrt{3} }{sin60}[/tex]

cross multiply

[tex]sin60*x=4\sqrt{3} sin30[/tex]

divide by [tex]sin60[/tex]

[tex]x=\frac{4\sqrt{3}sin30 }{sin60}[/tex]

type into calculator with (ALPHA Y= for a fraction on TI-84) MAKE SURE IT IS IN DEGREES

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