SOLUTION: A triangular plot of land has sides of lengths 430 feet, 380 feet, and 190 feet. Approximate the smallest angle between the sides. (Round your answer to the nearest whole number.)

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Question 1033686: A triangular plot of land has sides of lengths 430 feet, 380 feet, and 190 feet. Approximate the smallest angle between the sides. (Round your answer to the nearest whole number.)
Answer by stanbon(75887) About Me  (Show Source):
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A triangular plot of land has sides of lengths 430 feet, 380 feet, and 190 feet. Approximate the smallest angle between the sides. (Round your answer to the nearest whole number.)
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The smallest angle (A) is the angle opposite the smallest side::
Use the Law of Cosines to find the angle opposite the 190 ft side::
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(430^2 + 380^2 - 190^2) / (2*430*380) = cos(A)
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cos(A) = 0.8972
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A = 26.2 degrees
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Cheers,
Stan H.
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