HEL ASAP A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 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

segment EF = 6 units

segment EF = 9 units

segment EF = 12 units

segment EF = 16 units

Segment EF = 16 units

Step-by-step explanation:

First we will figure out our equation:

Line FD is adjacent to angle a.

Line EF is opposite to angle a

and line ED is the hypotenuse.

Since we will being using Tangent, the hypotenuse is irrelevant.

Tan a° =

Now substitute:

Multiply both sides by 12:

Solve for tangent by using your calculator:

EF = 16 units.