find the length of EF in this Pythagorean theorem problem and show work please and thanks you

Answer:
I'm not sure if you can solve this with Pythagorean Theorem because as far as I know, you need sides not angle+side combination. Despite this, let's solve this one using sine law, cosine law or even tangent.
Step-by-step explanation:
[tex] \tan(61) = \frac{length \: of \: df}{24} \\ length \: of \: df = 24 \tan(61) \\ = 43.2971 \\ \\ \cos(19) = \frac{length \: of \: df}{length \: of \: ef} \\ length \: of \: ef \: = \frac{43.2971}{ \cos(19) } \\ = 45.7919[/tex]