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In △HJK , m∠H=52∘ , m∠K=73∘ , and JK=14 yards

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What is HK

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Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

 

Please help my friend.

wertyusop  Jan 18, 2018

Best Answer 

 #1
avatar+7340 
+1

Since there are  180°  in every triangle,   m∠J  =  180° - 73° - 52°   =   55°

 

Now we can use the law of sines to find the length of  HK .

 

\(\frac{HK}{\sin55°}\,=\,\frac{14}{\sin52°}\)

                                    Multiply both sides of the equation by  sin 55°

\(HK\,=\,\frac{14\sin55°}{\sin52°}\)

 

HK   ≈   14.6     yards

hectictar  Jan 19, 2018
 #1
avatar+7340 
+1
Best Answer

Since there are  180°  in every triangle,   m∠J  =  180° - 73° - 52°   =   55°

 

Now we can use the law of sines to find the length of  HK .

 

\(\frac{HK}{\sin55°}\,=\,\frac{14}{\sin52°}\)

                                    Multiply both sides of the equation by  sin 55°

\(HK\,=\,\frac{14\sin55°}{\sin52°}\)

 

HK   ≈   14.6     yards

hectictar  Jan 19, 2018

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