Question 910157: On a whale watching tour, a boat starts at (2,84) and travels in a straight line to (178, -268). During the trip, 2 whales are spotted at locations of (-49, -44) and (136, 31). Which whale did the boat come closest to (assume each unit represents 1 Metre).
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! 2x+y-88=0
The line connecting (2,84) and (178, -268)
d=(|Ax+By+C|)/(sqrt(A^2+B^2)
formula for this line
Distance=(|2(x)+(1)(y)-88|)/(sqrt(2^2+1^2))
d=(|2(136)+(1)(31)-88|)/(sqrt(2^2+1^2))=96.151
D=(|2(-49)+(1)(-44)-88|)/(sqrt(2^2+1^2))=102.86
(-49, -44) and (136, 31).
d = 43 sqrt(5), D = 46 sqrt(5)
d=96.151, D=102.86
(136, 31)is the closest
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