SOLUTION: a rope is needed at the top of the 24-ft flagpole to connect it to a peg that is 20feet from the base of the flagpole. what is the length of the rope?

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: a rope is needed at the top of the 24-ft flagpole to connect it to a peg that is 20feet from the base of the flagpole. what is the length of the rope?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 564625: a rope is needed at the top of the 24-ft flagpole to connect it to a peg that is 20feet from the base of the flagpole. what is the length of the rope?
Answer by ad_alta(240) About Me  (Show Source):
You can put this solution on YOUR website!
A triangle is formed with side lengths 24 and 20. By the Pythagorean theorem, the hypotenuse has length sqrt(24^2+20^2)=4*sqrt(61) [about 31.24 ft]