If the straight line through the point p(3,4) makes an angle 30 with the x axis in the positive
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Equation of line passing through P(3,4) and having slope m=tan30° is
y-4=tan30°(x-3)
y-4=(1/√3)(x-3)
√3(y-4)=x-3... .........(1)
Q is the intersection of this line with 12x+5y+10=0..........(2)
Solve (1) and (2) for x and y you will get co ordinates of Q.Now use distance formula to calculate PQ.
Hope this works......
y-4=tan30°(x-3)
y-4=(1/√3)(x-3)
√3(y-4)=x-3... .........(1)
Q is the intersection of this line with 12x+5y+10=0..........(2)
Solve (1) and (2) for x and y you will get co ordinates of Q.Now use distance formula to calculate PQ.
Hope this works......
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