<PRE><B>Question 1062983</B>
We will use the law of cosines to get the length of side BC and then use Heron&#39;s formula to get the area of triangle ABC
:
BC^2 = 20^2 + 40^2 - 40*20*cos(46.6) = 1450.33
:
BC = 38.0832
:
s = (40 +20 +38.0832) / 2 = 49.0416
:
area of ABC = sqrt(49.0416*(49.0416-20)*(49.0416-40)*(49.0416-38.0832))
:
area of ABC = 375.6547 square feet
:
total cost = 375.6547 * 0.79 = 296.7672
:
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Avra should expect to spend $296.77
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:
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