SOLUTION: a playground is situated on a triangular plot of land. two sides of the plot are 175 feet long and they meet at an angle of 70 degrees. for safety reason, a fence is to be placed a

Question 144884: a playground is situated on a triangular plot of land. two sides of the plot are 175 feet long and they meet at an angle of 70 degrees. for safety reason, a fence is to be placed along the perimeter of the property. How much fencing material is needed?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a playground is situated on a triangular plot of land. two sides of the plot are 175 feet long and they meet at an angle of 70 degrees. for safety reason, a fence is to be placed along the perimeter of the property. How much fencing material is needed?
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Use the Law of Cosines to find the 3rd side.
a^2 = b^2 + c^2 -2bc Cos(A)
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a^2 = 175^2 + 175^2 -2*175^2Cos(70)
a^2 = 2*175^2 + 2*175^2Cos(70)
a^2 = 2*175^2[1 + cos(70)]
a = 286.70
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Perimeter = 286.7 + 2*175
P = 636.70 feet
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Cheers,
Stan H.

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