**Problem Description:**Two vertical poles of lengths 7 feet and 9 feet stand 14 feet apart. A cable reaches from the top of one pole to some point on the ground between the poles and then to the top of the other pole. Where should this point be located to use 23 feet of cable?**Diagram Explanation:**- The diagram depicts two vertical poles on a flat surface. The pole on the left is 7 feet tall, and the pole on the right is 9 feet tall.- The poles are 14 feet apart from each other on the ground.- A cable runs from the top of the first pole down to a point on the ground, then from that point up to the top of the second pole.- The cable is represented as two diagonal lines forming a V shape between the poles.**Solution Task:**Determine the point on the ground where the cable should touch to ensure the total length of the cable is 23 feet.**Answer Box:**The point should be located ___ feet from the smaller pole to use 23 feet of cable.(*Use a comma to separate answers as needed. Round to three decimal places as needed.*)

Answered: Image /qna-images/answer/681f4771-ef34-46b6-98cc-c08e44043339.jpg

wo vertical poles of lengths 7 feet and 9 feet stand 14 feet apart. A cable reaches from the top of one pole to some point on the ground between the poles and then to the top of the other pole. Where should this point be located to use 23 feet of cable?

wo vertical poles of lengths 7 feet and 9 feet stand 14 feet apart. A cable reaches from the top of one pole to some point on the ground between the poles and then to the top of the other pole. Where should this point be located to use 23 feet of cable?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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**Problem Description:**

Two vertical poles of lengths 7 feet and 9 feet stand 14 feet apart. A cable reaches from the top of one pole to some point on the ground between the poles and then to the top of the other pole. Where should this point be located to use 23 feet of cable?

**Diagram Explanation:**

- The diagram depicts two vertical poles on a flat surface. The pole on the left is 7 feet tall, and the pole on the right is 9 feet tall.
- The poles are 14 feet apart from each other on the ground.
- A cable runs from the top of the first pole down to a point on the ground, then from that point up to the top of the second pole.
- The cable is represented as two diagonal lines forming a V shape between the poles.

**Solution Task:**

Determine the point on the ground where the cable should touch to ensure the total length of the cable is 23 feet.

**Answer Box:**

The point should be located ___ feet from the smaller pole to use 23 feet of cable.

(*Use a comma to separate answers as needed. Round to three decimal places as needed.*)

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