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\frac{6371}{\frac{\sqrt{3}}{2}}
Get the value of \cos(30) from trigonometric values table.
\frac{6371\times 2}{\sqrt{3}}
Divide 6371 by \frac{\sqrt{3}}{2} by multiplying 6371 by the reciprocal of \frac{\sqrt{3}}{2}.
\frac{6371\times 2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{6371\times 2}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{6371\times 2\sqrt{3}}{3}
The square of \sqrt{3} is 3.
\frac{12742\sqrt{3}}{3}
Multiply 6371 and 2 to get 12742.