O ADDITIONAL TOPICS IN TRIGONOMETRYМахSolving a triangle with the law of cosinesEspañolConsider a triangle ABC like the one below. Suppose that C 111°, a=48, and b=50. (The figure is not drawn to scale.) Solve the triangle.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"сABАNoorSolutionаXAaС

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Asked Oct 8, 2019
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O ADDITIONAL TOPICS IN TRIGONOMETRY
Мах
Solving a triangle with the law of cosines
Español
Consider a triangle ABC like the one below. Suppose that C 111°, a=48, and b=50. (The figure is not drawn to scale.) Solve the triangle.
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"
с
A
B
А
No
or
Solution
а
X
Aa
С
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O ADDITIONAL TOPICS IN TRIGONOMETRY Мах Solving a triangle with the law of cosines Español Consider a triangle ABC like the one below. Suppose that C 111°, a=48, and b=50. (The figure is not drawn to scale.) Solve the triangle. 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" с A B А No or Solution а X Aa С

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Expert Answer

Step 1

Given,

C 111, a 48 and b=50
C
48
50
111
C
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C 111, a 48 and b=50 C 48 50 111 C

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Step 2

Apply Cosine Rule of angle,

c2= a +b-2ab cos C
62=a2 c2-2ac cos B
a2c2b-2bc cos A
-(1)
-(2)
.(3)
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c2= a +b-2ab cos C 62=a2 c2-2ac cos B a2c2b-2bc cos A -(1) -(2) .(3)

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Step 3

Plugging all value in...

c= 48 +50 -2( 48) (50) cos 111*
c2=6524.166158
= v6524.166158
c = 80.772310
C 80.8
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c= 48 +50 -2( 48) (50) cos 111* c2=6524.166158 = v6524.166158 c = 80.772310 C 80.8

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