SOLUTION: sketch the triangle and use the law of cosines to find the indicated value.round your answer ro the nearest hundreth. 22)find the angle opposite the longest side in a triangle w

Algebra ->  Trigonometry-basics -> SOLUTION: sketch the triangle and use the law of cosines to find the indicated value.round your answer ro the nearest hundreth. 22)find the angle opposite the longest side in a triangle w      Log On


   



Question 281002: sketch the triangle and use the law of cosines to find the indicated value.round your answer ro the nearest hundreth.
22)find the angle opposite the longest side in a triangle with sides of 43 ft ,48ft, and 65ft.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sketch the triangle and use the law of cosines to find the indicated value.round your answer ro the nearest hundreth.
22)find the angle opposite the longest side in a triangle with sides of 43 ft ,48ft, and 65ft.
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Since a^2 = b^2 + c^2 -2bc*cos(A)
--
cos(A) = (b^2+c^2-a^2)/2bc
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Your Problem:
cos(A) = (43^2+48^2-65^2)/(2*43*48)
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cos(A) = -0.0174
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A = cos^-1(-0.0174) = 91 degrees
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Cheers,
Stan H.