O ADDITIONAL TOPICS IN TRIGONOMETRYMaxSolving a triangle with the law of cosinesEspañoltriangle ABC like the one below. Suppose that a- 57, b=52, and c=38. (The figure is not drawn to scale.) Solve the triangle.Consider aCarry your intermediate computations to at least four decimal places, and round your answers to the nearest tenthIf there is more than one solution, use the button labeled "or"B,B , C-NoOorSolutionBEа?cAaС

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Asked Oct 7, 2019
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O ADDITIONAL TOPICS IN TRIGONOMETRY
Max
Solving a triangle with the law of cosines
Español
triangle ABC like the one below. Suppose that a- 57, b=52, and c=38. (The figure is not drawn to scale.) Solve the triangle.
Consider a
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth
If there is more than one solution, use the button labeled "or"
B
,B , C-
No
O
or
Solution
BE
а
?
c
Aa
С
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O ADDITIONAL TOPICS IN TRIGONOMETRY Max Solving a triangle with the law of cosines Español triangle ABC like the one below. Suppose that a- 57, b=52, and c=38. (The figure is not drawn to scale.) Solve the triangle. Consider a Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth If there is more than one solution, use the button labeled "or" B ,B , C- No O or Solution BE а ? c Aa С

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Expert Answer

Step 1

Given,

 

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a 57, b 52 andc 38

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Step 2

By using law of cos...

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bc -a _(52) +(38) - (57) _ 2(52)(38) 899 = 0.2274 cos A 2bc 3952 A cos(0.2274) = 76.8559 76.86 a +c-b(57) +(38) -(52) 2(57)(38) 1989 0.4591 COs B 4332 2ac B cos (0.4591) 62.6709 z 62.67* (57) +(52)-(38) 2(57) (52) b- 4509 = 0.7606 cos C 2ab 5928 C cos(0.7606) = 40.4828 40.48

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