# maths

posted by .

a boat travel 5 miles due south and then 11 miles due east. how far is it from the starting point?

• maths -

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,, :)

## Similar Questions

1. ### Math

Hello, I'm not sure how to go about this question. To get to work on the first day, Jose has the following directions. Travel 15 miles due East. Turn right and travel 12 miles due south. Turn right again and travel 10 miles due West. …
2. ### Story Problem

Ann drove 8 miles east, 4 miles south, 3 miles east, 6 miles north, 7 miles west, and 5 miles south. How many miles, in each of the compass directions, is she now from her starting point?
3. ### math

a boat starts at point a p travels 15 miles due north to point r then turns due east and travels 8 more miles to the dock at point t find the distance the boat would have traveled if it had gone directly from point p to point t
4. ### math

a boy travels 15 km due north,then goes 9 km due east,then 3km due south.how far is he from his starting point find the distance the boat would have traveled if it had gone directly from point p to point t
5. ### math

Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?
6. ### twh

Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?
7. ### Math

A boat travels 74 miles on a course with direction 34 degrees and then changes its course to travel 58 miles at 53 degrees. How far north and how far east has the boat traveled on its 132-mile trip?
8. ### Math

A surfer drives his dune buggy out into the sand dunes.He follows his compass 10 miles due north and then turns due west. If he ends up approximately 35 miles from where he started how far west did he travel?
9. ### Math

A man walks 3 miles due east, then 4 miles due north, then five miles due east. How far is he from his starting point?
10. ### College Algebra math

A plane flies due east for 35 miles and then due south until it is 37 miles from its starting point. How far south did the plane fly?

More Similar Questions