2 years ago

Solve the right triangle. Will give points!

Mathematics

1 answer:

Anna [14]2 years ago

6 0

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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