If the straight line drawn through the point `P(sqrt3,2)` and making an angle `(pi)/(6)` with the x-axis meets the line `sqrt3x-4y+8=0` at Q, find the length of PQ.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Find the equation of the line through point P(√3, 2) making an angle π/6 with the x-axis.
The slope (m) of a line making an angle θ with the x-axis is given by:
\[ m = \tan(\theta) \]
For θ = π/6:
\[ m = \tan\left(\frac{\pi}{6}\right) = \frac{1}{\sqrt{3}} \]

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