SOLUTION: A flagpole has a height of 30 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 6 yards below the top of the pole and attached to th

Algebra ->  Pythagorean-theorem -> SOLUTION: A flagpole has a height of 30 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 6 yards below the top of the pole and attached to th      Log On


   



Question 972864: A flagpole has a height of 30 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 6 yards below the top of the pole and attached to the ground at a point that is 10 yards from the base of the pole. Find the total number of yards of cable that will be required.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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The cables will be the hypotenuses of right triangles formed by:
a=height=30yds-6yds=24yds
b=distance from base=10yds
c=cable length for one support
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a%5E2%2Bb%5E2=c%5E2
24%5E2%2B10%5E2=c%5E2
676=c%5E2
sqrt%28676%29=c
26yds=c
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One support is 26 yards so total length needed is 3(26yds)=78 yards