SOLUTION: A flagpole 24 feet high is 10 feet away from its anchor cable. How long is the anchor cable? My origninal answer was 30 feet. Is this correct

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Question 300137: A flagpole 24 feet high is 10 feet away from its anchor cable. How long is the anchor cable? My origninal answer was 30 feet. Is this correct
Found 2 solutions by Alan3354, richwmiller:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A flagpole 24 feet high is 10 feet away from its anchor cable. How long is the anchor cable? My origninal answer was 30 feet. Is this correct
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What do you mean by "original answer?"
L%5E2+=+24%5E2+%2B+10%5E2+=+676
L = 26 feet

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Two of the more common Pythagorean triplets are 3,4,5 and 5,12,13 right triangles
here we have a multiple of the 5,12,13 triangle.
The flagpole is 24 (2*12) and the other leg is 10 (2*5) so the cable will be 2*13=26 which saves us time and calculations.