If the straight line through the point \( P(3,4) \) makes an angle \( \pi / 6 \) with the \( x \...

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If the straight line through the point \( P(3,4) \) makes an angle \( \pi / 6 \) with the \( x \)-axis and meets the line \( 12 x+5 y+10=0 \) at \( Q \), find the length \( P Q \).
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