Answer:
1178 inches
Step-by-step explanation:
Using the triangle I drew (assuming n is across from ∠N), we can conclude that ∠O = 180-97-32 = 51 as the angles in a triangle add up to 180.
Using the law of sines, we can conclude that
[tex]\frac{o}{sinO} = \frac{n}{sinN} \\[/tex]
Plugging our values in, we get
[tex]\frac{o}{0.78} = \frac{800}{0.53}[/tex]
Multiply both sides by 0.78 to get
[tex]o = \frac{800*0.78}{0.53} = around 1177.5[/tex]
round up to get 1178 as our answer
