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?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

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