Answer:
g = 218.4 inches
Step-by-step explanation:
[tex]\boxed{\frac{sin\ \angle A}{a} =\frac{sin\ \angle B}{b}=\frac{sin\ \angle C}{c} }[/tex]
Given:
f = 400 inches
∠F=94°
∠G=33°
Using the Sine Rule Formula:
[tex]\displaystyle\frac{sin\ \angle F}{f} =\frac{sin\ \angle G}{g}[/tex]
[tex]\displaystyle\frac{sin\ 94^o}{400} =\frac{sin\ 33^o}{g}[/tex]
[tex]\displaystyle g=\frac{sin\ 33^o}{sin\ 94^o} \times 400[/tex]
[tex]\bf g=218.4\ inches[/tex]