Angle E = 90º
[tex]sin D = \frac{d}{FD} [/tex]
[tex]d = (sinD)(FD)[/tex]
[tex]d = (sin30^o)(6)= \frac{ 1}{2}(6)=\boxed{3 in}[/tex]
[tex]cosD= \frac{f}{FD} [/tex]
[tex]f=(cosd)(FD)[/tex]
[tex]f=(cos30^o)(6)= \frac{ \sqrt{3} }{2} (6)=\boxed{3 \sqrt{3}in }[/tex]