Question 1190010
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x = how far Aneesa ran, in meters
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Use the law of cosines to solve for x.
c^2 = a^2+b^2 - 2*a*b*cos(C)
485^2 = 180^2+x^2 - 2*180*x*cos(72)
485^2 = 180^2+x^2 - 2*180*x*0.30901699437494
235225 = 32400+x^2 - 111.246117974979x
0 = 32400+x^2 - 111.246117974979x - 235225
x^2 - 111.246117974979x - 202825 = 0


From here, you'll need the quadratic formula. I'll skip those steps but you should get the following roots:
x = -398.16
x = 509.41
both of which are approximate


We ignore the negative root. It doesn't make sense to have Aneesa run a negative distance.


The only practical solution here is roughly x = 509.41
This rounds to 509


Answer: 509 meters
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