What is the perpendicular distance between the point A and straight line B?
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We know the distance formula from a point (0,0) to a straight line is d = A 2 + B 2 ∣ C ∣ .
Here the equation of straight line y = m x + c . where m = 3 4 .
again from the slope we can tell, when the straight line moves 3' horizontally it moves 4' vertically. so when the line moves 30' horizontally it moves 40' vertically. so c becomes 40+20=60'.
therefore y = ( 4 / 3 ) x + 6 0 or 4 x − 3 y + 1 8 0 = 0 .
so the distance d = 4 2 + 3 2 1 8 0 = 5 1 8 0 = 3 6 .
so, d=36'