Answer: [tex]g = 6\sqrt{6} \ \ \text{yards}[/tex]
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Explanation:
When dealing with a 30-60-90 triangle, the short leg x and the long leg y can be tied together using this formula
[tex]y = x*\sqrt{3}[/tex]
We see that the long leg is exactly [tex]\sqrt{3}[/tex] times longer than the short leg.
Therefore we can say,
[tex]y = x*\sqrt{3}\\\\y = 6\sqrt{2}*\sqrt{3}\\\\y = 6\sqrt{2*3}\\\\y = 6\sqrt{6}\\\\g = 6\sqrt{6}\\\\[/tex]
