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one end of the cable is attached to the top of the flagpole and the other end is attached 6 feet away from the base of the pole if the height of the flagpole is 12 feet, find the length of the cable. ​

Sagot :

Answer:

13.42 ft. to the nearest tenth of a foot

Step-by-step explanation:

The length of the cable is the hypotenuse of a right triangle.  You know the two legs, 6 and 12, so let the length of the hypotenuse = h.  Then,

[tex]h^{2} = 6^{2} + 12^{2} = 36 + 144 = 180\\h = \sqrt{180} = 13.42[/tex]

13.42 ft. to the nearest tenth of a foot