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
