lflickinger2004
lflickinger2004 lflickinger2004
  • 01-12-2020
  • Mathematics
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Find the length of AC

Find the length of AC class=

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hnori22003
hnori22003 hnori22003
  • 01-12-2020

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[tex] \cot(A) = \frac{AC}{BC} \\ [/tex]

[tex] \cot(60°) = \frac{AC}{8 \sqrt{3} } \\ [/tex]

[tex] \frac{1}{ \sqrt{3} } = \frac{AC}{8 \sqrt{3} } \\ [/tex]

[tex] \frac{AC}{8 \sqrt{ 3} } = \frac{1}{ \sqrt{3} } \\ [/tex]

Multiply sides by 8√3

[tex]8 \sqrt{3} \times \frac{AC}{8 \sqrt{3} } = 8 \sqrt{3} \times \frac{ 1 }{ \sqrt{3} } \\ [/tex]

[tex]AC = 8[/tex]

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