IF A STRAIGHT LINE THROUGH THE POINT P(3,4) MAKES AN ANGLE OF 30 DEGREES WITH X-AXIS,AND MEETS THE LINE 12X + 5Y +10=0 AT Q,FIND THE LENGTH OF PQ.

since the line makes an angle of 30 degress with x axis, we know its tangent.

and since we know it is passing through P, we can easiliy find the equation of line

now the question is very simple

simple find the point of intersection that is Q.

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