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A 18 m pole is supported by 2 guy wires attached to a point 2/3 of the way up the pole and to points on the ground 5 m from the base of the pole. What is the length of each guy wire?
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A 18 m pole is supported by 2 guy wires attached to a point 2/3 of the...
Understanding the Problem
To find the length of each guy wire supporting the pole, we first note the important dimensions:
- Height of the pole = 18 m
- Attachment point of the guy wires = 2/3 of the pole’s height
- Distance from the base of the pole to the ground point of guy wires = 5 m
Calculating the Height of the Attachment Point
- Height at which wires are attached = (2/3) * 18 m
- Height of attachment = 12 m
Visualizing the Triangle
The situation forms a right triangle where:
- One leg is the height of the attachment point (12 m)
- The other leg is the distance from the base to the ground point of the guy wires (5 m)
Applying the Pythagorean Theorem
To find the length of the guy wire (hypotenuse), we use the formula:
- Length of wire = √(Height^2 + Distance^2)
Substituting the values:
- Length of wire = √(12^2 + 5^2)
- Length of wire = √(144 + 25)
- Length of wire = √169
- Length of wire = 13 m
Conclusion
The length of each guy wire is:
- Length of guy wire = 13 m
This calculation ensures the pole remains stable and secure.
To find the length of each guy wire supporting the pole, we first note the important dimensions:
- Height of the pole = 18 m
- Attachment point of the guy wires = 2/3 of the pole’s height
- Distance from the base of the pole to the ground point of guy wires = 5 m
Calculating the Height of the Attachment Point
- Height at which wires are attached = (2/3) * 18 m
- Height of attachment = 12 m
Visualizing the Triangle
The situation forms a right triangle where:
- One leg is the height of the attachment point (12 m)
- The other leg is the distance from the base to the ground point of the guy wires (5 m)
Applying the Pythagorean Theorem
To find the length of the guy wire (hypotenuse), we use the formula:
- Length of wire = √(Height^2 + Distance^2)
Substituting the values:
- Length of wire = √(12^2 + 5^2)
- Length of wire = √(144 + 25)
- Length of wire = √169
- Length of wire = 13 m
Conclusion
The length of each guy wire is:
- Length of guy wire = 13 m
This calculation ensures the pole remains stable and secure.
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A 18 m pole is supported by 2 guy wires attached to a point 2/3 of the way up the pole and to points on the ground 5 m from the base of the pole. What is the length of each guy wire?
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A 18 m pole is supported by 2 guy wires attached to a point 2/3 of the way up the pole and to points on the ground 5 m from the base of the pole. What is the length of each guy wire? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A 18 m pole is supported by 2 guy wires attached to a point 2/3 of the way up the pole and to points on the ground 5 m from the base of the pole. What is the length of each guy wire? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 18 m pole is supported by 2 guy wires attached to a point 2/3 of the way up the pole and to points on the ground 5 m from the base of the pole. What is the length of each guy wire?.
A 18 m pole is supported by 2 guy wires attached to a point 2/3 of the way up the pole and to points on the ground 5 m from the base of the pole. What is the length of each guy wire? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A 18 m pole is supported by 2 guy wires attached to a point 2/3 of the way up the pole and to points on the ground 5 m from the base of the pole. What is the length of each guy wire? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 18 m pole is supported by 2 guy wires attached to a point 2/3 of the way up the pole and to points on the ground 5 m from the base of the pole. What is the length of each guy wire?.
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