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A wire is to be attached to support a telephone pole. Because of surrounding buildings,sidewalks,and roadways,the wire must be anchored exactly 13 feet from the base of the pole. Telephone company workers have only 30 feet of cable,and 2 feet of that must be used to attach the cable to the ople and to the stake on the ground. How high from the base of the pole can the wire be attached?

 

 

The wire can be attached at the height of _____ feet from the base of the pole. 

 

 

Thank You

 Apr 26, 2016
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The length of the cable will form the hypotenuse of a right triangle and it will be [30 - 2]   = 28 ft long

 

So.....the height at which the cable can be attached  =

 

sqrt [ 28^2  - 13^2]  = sqrt [ 784 - 169]   = sqrt [615 ] = about 24.8 ft

 

 

cool cool cool

 Apr 26, 2016

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