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.
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
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