If the straight line passing through the point P(3, 4) makes an angle \(\frac{\pi}{6}\) with the positive direction of X-axis and meets the line 12x + 5y + 10 = 0 at Q, then the length of PQ is
1
\(\frac{44}{12 \sqrt{2}+9}\)
2
\(\frac{66}{12 \sqrt{3}+5}\)
3
\(\frac{132}{12 \sqrt{3}+5}\)
4
\(\frac{148}{6 \sqrt{2}+3}\)