Question

A wire is to be attached to support a telephone pole. Because of surrounding buildings. sidewalks, and roadways, the wire must be anchored exactly 15 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 pole and to the stake on the ground. How high from the base of the pole can the wire be attached?

Answer 1

Answer:23.64ft of wire

Step-by-step explanation: the length of the cable and he distance on the ground and the height all forms a right angles triangle. With the length if the cable being the hypotenuse . since 2ft of cabkes are remobed,28 ft woukd be left, you can therefore apply the Pythagoras theorem and square of 28 - the square of 15 gives the square of the height at which it should be hung.

I.e 28^2= 15^2+ x^2

x^2= 784-225

x^2= 559

x=√559

x=23.64ft