SOLUTION: the distance between two cities is southwest ten miles. to dive, you must travel 8 miles east. how many miles north will you have to drive?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: the distance between two cities is southwest ten miles. to dive, you must travel 8 miles east. how many miles north will you have to drive?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 252566: the distance between two cities is southwest ten miles. to dive, you must travel 8 miles east. how many miles north will you have to drive?

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1 - draw a segment going from northeast to southwest. Call is 10 miles. Create a right triangle with lines going east and then south. Label the east 8 miles. You have created a right triangle with a = a (north / south), b = 8, and
c = 10. Use Pythagorean theorem to find a.
a%5E2+%2B+8%5E2+%2B+10%5E2
a%5E2+%2B+64+=+100
a%5E2+=+36
a = 6 miles north.