Answer:
i ≈ 530 inches (to the nearest inch)
Step-by-step explanation:
Check the diagram in the attachment. Using sin rule to get the length of i.
According to the rule [tex]\frac{g}{sinG} = \frac{h}{sinH} = \frac{i}{sinI}\\[/tex]
Given h = 300 inches, ∠G=30° and ∠H=29°; we can use the relationship below to get length of i;
[tex]\frac{h}{sinH} = \frac{i}{sinI}\\[/tex]... 1
Since sum of angle in a triangle is 180°, then ∠G+∠H+∠I = 180°
30°+29°+∠I = 180°
∠I = 180°-(30°+29°)
∠I = 180°-59°
∠I = 121°
Applying equation 1;
[tex]\frac{300}{sin29^{0} } = \frac{i}{sin121^{0} }\\\\300sin121^{0} = iSin29^{0}\\ i = \frac{300sin121^{0}}{Sin29^{0}} \\i = \frac{257.15}{0.4848} \\i = 530.425inches\\[/tex]
i ≈ 530 inches (to the nearest inch)
