SOLUTION: Patti drove 48 miles to the west and then drove 64 miles to the south how far is shefrom her starting location

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Patti drove 48 miles to the west and then drove 64 miles to the south how far is shefrom her starting location       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 930471: Patti drove 48 miles to the west and then drove 64 miles to the south how far is shefrom her starting location
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
A right triangle is formed with legs of 48 and 64.
The distance from the starting point will be the length of the hypotenuse.

a² + b² = c² {the Pythagorean Theorem}
48² + 64² = c² {substituted given information into Pythagorean Theorem}
2304 + 4096 = c² {evaluated exponents}
6400 = c² {added}
c = 80

80 miles is the distance from the starting point.

For more help from me, visit: www.algebrahouse.com