SOLUTION: a 30-foot pole is supported by two wires that extend from the top of the pole to points that are each 16 feet from the base of the pole. find the total length of the two wires.
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Question 658751: a 30-foot pole is supported by two wires that extend from the top of the pole to points that are each 16 feet from the base of the pole. find the total length of the two wires.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
a 30-foot pole is supported by two wires that extend from the top of the pole to points that are each 16 feet from the base of the pole. find the total length of the two wires.
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Since the pole and the ground forms a "right angle" (90 degrees), we can use Pythagorean theorem to find the answer.
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Let x = length of wire
then
30^2 + 16^2 = x^2
900 + 256 = x^2
1156 = x^2
34 feet = x (one wire)
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Length of both wire:
34 + 34 = 68 feet
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