Question

HELPPPP 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

Answer 1

Answer: the one above is correct

Explanation:

Took the test!! :)

Answer 2

Segment EF = 16 units

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° =
`(opposite)/(adjacent)`

Now substitute:

`tan (3)/(4) = (x)/(12)`

Multiply both sides by 12:

`(12)tan(3)/(4) =x`

Solve for tangent by using your calculator:

`tan (3)/(4)= 1.333333333`

`(12)1.333333333= 16`

`16 = x`

EF = 16 units.