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aleksandrvk [35]
3 years ago
10

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

Mathematics
2 answers:
Rom4ik [11]3 years ago
4 0

Answer:

24 units is right i took the test

Step-by-step explanation:

Sladkaya [172]3 years ago
3 0

Answer:

24 units

Step-by-step explanation:

From the description:

  • angle D measures a degrees
  • opposite to angle D is side EF
  • side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

sin(a) = 4/5

From definition:

sin(a) = opposite/hypotenuse

Replacing:

4/5 = EF/DE

EF = (4/5)*DE

EF = (4/5)*30 = 24 units

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