Answered

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Solve the right triangle. Will give points!

Solve The Right Triangle Will Give Points class=

Sagot :

sqdancefan

Answer:

  • EF = 4.1
  • DE = 9.1
  • m∠F = 66°

Step-by-step explanation:

The hypotenuse and one acute angle are given. The relevant relations are ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

For the given triangle, these tell us ...

  sin(24°) = EF/DF = EF/10

  EF = 10·sin(24°) ≈ 4.1

and ...

  cos(24°) = DE/DF = DE/10

  DE = 10·cos(24°) ≈ 9.1

The remaining acute angle is the complement of the given one:

  F = 90° -D = 90° -24°

  ∠F = 66°

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