Answer:
24 units
Step-by-step explanation:
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
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
[tex]\sin (a) = \frac{4}{5}[/tex]
[tex]\sin (a) = \frac{opposite}{hypotenuse}[/tex]
From definition:
[tex]\sin (a) = \frac{opposite}{hypotenuse}[/tex]
Replacing:
[tex]\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units[/tex]
Answer:
EF= 24 units
Step-by-step explanation:
I took the test and it was right
