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A taut rope starting from the top of a flagpole and tied to the ground is 15 meters long.If the pole is 7 meters high , how far is the rope from the base of the flagpole?


Sagot :

Since this involves right triangle, use Pythagorean Theorem.
the length of the rope serves as the hypotenuse while
the length of the pole is the length of one leg
Let 'x' be the distance of the base of the pole to the end of the rope
[tex]x^2 = 15^2 - 7^2[/tex]
[tex]x^2 = 176[/tex]
[tex]x = 4 \sqrt{11} [/tex]
or
[tex]x = 13.266meters[/tex]
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See attachment below for the illustration

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