Math

posted by .

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.

If Jose could travel in a straight line from his house to work, how many miles would he travel?

  • Math -

    You end up with a right triangle with the two legs being 12 miles and 5 miles.

    Use the Pythagorean theorem, with c representing the hypotenuse.

    a^2 + b^2 = c^2

    12^2 + 5^2 = c^2

    144 + 25 = c^2
    169 = c^2
    13 = c

  • Math -

    Ok, thanks. But how did you get 12 and 5?

  • Math -

    He traveled 15 miles east and then 10 miles west.

    15 - 10 = 5

    He traveled 12 miles south.

    That gives us a triangle.

    He started at point A. Went to point B, and then to point C. He ended at point D. You need to find the distance betwen point A and point D.

    B_______<___15____<______A (start)
    |
    v
    |
    12
    |
    v
    |___>____10__>___D
    C

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    the group covered the first 70 miles in 10 hours. then it doubled its paceto travel 280 miles. how long did it takethe group to travel 350 miles?
  2. physics

    An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 4.5 km, but when the snow clears, he …
  3. Algebra 1

    Hello, could someone help me solve/show the following algebra problem?
  4. maths

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

    To reach city A, you travel north for 2.00 hours covering 80.0 miles. You then turn due east and travel 45.0 minutes for another 20.0 miles to reach your destination. On the first leg of your trip (traveling north), what is your speed?
  6. 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?
  7. 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?
  8. 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?
  9. Math - 3rd grade

    Mr. Thomas travel 20miles each week to and from work. If he works 5 days a week, how many miles does Mr. Thomas travel each day to go to work?
  10. math

    one day a sailor was sailing 32 miles from the shore. he then went 22 miles east then 67 miles north. How far did he travel straight?

More Similar Questions