A utility pole is 7 meters high. A cable is stretched from the top of the pole to a point in the ground that is 6 meters from the bottom of the pole. How long is the cable?

Respuesta :

Answer:

9.22m

Step-by-step explanation:

We can visualize this problem as a right triangle. The leg with side length 7 that's parallel to the y-axis of a coordinate plane represent the pole, the the leg with side length 6 that's parallel to the x-axis of a coordinate plane represents the ground and the cable is the hypotenuse. So, all we have to do is apply Pythagorean Theorem!

[tex]cable=\sqrt{7^2+6^2}=\sqrt{85}[/tex] ≈ 9.22 m

Let me know if you have any questions!

rr6303

Answer:

9.21954445729

Step-by-step explanation:

[tex]7^{2} +6^{2} = 85\\\sqrt{85} = 9.21954445729[/tex]