SOLUTION: a ferry sets sail from an island at (4,12) on a map. Its destination is ferry landing B at (6,2). How far will the ferry travel if each unit is 0.5 miles?

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Question 856713: a ferry sets sail from an island at (4,12) on a map. Its destination is ferry landing B at (6,2). How far will the ferry travel if each unit is 0.5 miles?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
First find the distance from (4,12) to (6,2)


Solved by pluggable solver: Distance Formula


The first point is (x1,y1). The second point is (x2,y2)


Since the first point is (4, 12), we can say (x1, y1) = (4, 12)
So ,


Since the second point is (6, 2), we can also say (x2, y2) = (6, 2)
So ,


Put this all together to get: , , , and

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Now use the distance formula to find the distance between the two points (4, 12) and (6, 2)






Plug in , , , and






















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Answer:


The distance between the two points (4, 12) and (6, 2) is exactly units


The approximate distance between the two points is about 10.1980390271856 units



So again,


Exact Distance: units


Approximate Distance: units






We see that the approximate distance is roughly 10.1980390271856 units.


Now convert to miles using the conversion factor 1 unit = 0.5 miles


10.1980390271856 units * (0.5 miles/1 unit) = 10.1980390271856*0.5 = 5.0990195135928 miles


So the ferry travels approximately 5.0990195135928 miles


Note: be sure to follow any rounding instructions given.
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