Question

In △DEF, what is the length of DF? Image posted.
15 radical 3
30 radical 3
45 radical 2
90

Answer 1

use
\[\sin(60)=\frac{45}{DF}\] and also
\[\sin(60)=\frac{\sqrt{3}}{2}\]

Answer 2

Ok thank you! 45 radical 2!

Answer 3

no that is not what i get

Answer 4

\[\frac{\sqrt{3}}{2}=\frac{45}{DF}\]
\[\sqrt{3}DF=90\]
\[DF=\frac{90}{\sqrt{3}}=\frac{90\sqrt{3}}{3}=30\sqrt{3}\]