SOLUTION: Diagonal of football field: A football field is 100 yd long from goal line to goal line and 160 ft wide. If a player ran diagonally across the field from one goal line to the oth

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Diagonal of football field: A football field is 100 yd long from goal line to goal line and 160 ft wide. If a player ran diagonally across the field from one goal line to the oth      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 913040: Diagonal of football field:
A football field is 100 yd long from goal line to goal line and 160 ft wide. If a player ran diagonally across the field from one goal line to the other, than how far did he run
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

1 yard = 3 feet
100 yards = 300 feet (multiply both sides by 3)


We have a right triangle with side lengths a = 300 ft, b = 160 ft, and an unknown hypotenuse c. Use the pythagorean theorem to find c.

a%5E2+%2B+b%5E2+=+c%5E2

%28300%29%5E2+%2B+%28160%29%5E2+=+c%5E2

90000+%2B+25600+=+c%5E2

115600+=+c%5E2

c%5E2+=+115600

c+=+sqrt%28115600%29 Apply the square root to both sides

c+=+340

The player ran exactly 340 feet. This is equivalent to 340/3 = 113.333 yards approximately. To convert from feet to yards, you divide by 3.

Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim