Question
a boat travel 5 miles due south and then 11 miles due east. how far is it from the starting point?
Answers
jai
to find distance, use the distance formula:
d = sqrt[(y2-y1)^2 + (x2-x1)^2]
but first, we look for the points,, let the starting point at the origin (0,0) -- this is (x1,y1)
then it traveled 5 miles south (0,-5)
and finally, it traveled 11 miles east, thus (11,-5) -- this point is (x2,y2)
therefore,
d = sqrt[(-5-0)^2 + (11-0)^2]
d = sqrt(25 + 121)
d = sqrt(146) = 12.083
so there,, :)
d = sqrt[(y2-y1)^2 + (x2-x1)^2]
but first, we look for the points,, let the starting point at the origin (0,0) -- this is (x1,y1)
then it traveled 5 miles south (0,-5)
and finally, it traveled 11 miles east, thus (11,-5) -- this point is (x2,y2)
therefore,
d = sqrt[(-5-0)^2 + (11-0)^2]
d = sqrt(25 + 121)
d = sqrt(146) = 12.083
so there,, :)