Answer:
(D) 24.0
Step-by-step explanation:
It is given that in triangle DEF, DE=15 and m∠F=32°
In triangle DEF, using the trigonometry, we have
[tex]\frac{DE}{EF}=tan32^{\circ}[/tex]
Substituting the given values, we have
[tex]\frac{15}{EF}=tan32^{\circ}[/tex]
⇒[tex]\frac{15}{EF}=0.625[/tex]
⇒[tex]\frac{15}{0.625}=EF[/tex]
⇒[tex]EF=24.0[/tex]
Thus, the value pf EF is 24, Hence option D is correct.
