Class 7 Exam > Class 7 Questions > A 18 m pole is supported by 2 guy wires attac...
Start Learning for Free
A 18 m pole is supported by 2 guy wires attached to a point 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?
Most Upvoted Answer
A 18 m pole is supported by 2 guy wires attached to a point 3 of the w...
Understanding the Problem
To find the length of each guy wire, we first need to visualize the setup. The pole, the ground, and the guy wires form a right triangle.
Key Measurements
- Height of the pole: 18 m
- Guy wire attachment point: 3/4 of the way up the pole
- Distance from the base of the pole to the guy wire points on the ground: 5 m
Calculating the Height of Attachment
1. Determine the height at which the guy wires are attached:
- Height of the attachment point = (3/4) * 18 m = 13.5 m
Forming a Right Triangle
2. Identify the triangle components:
- Vertical side (height of attachment) = 13.5 m
- Horizontal side (distance from the pole) = 5 m
Using the Pythagorean Theorem
3. Calculate the length of the guy wire (hypotenuse):
- The formula is: Hypotenuse = √(Vertical side² + Horizontal side²)
- Substitute the values:
- Hypotenuse = √(13.5² + 5²)
- Hypotenuse = √(182.25 + 25)
- Hypotenuse = √207.25
Final Calculation
4. Calculate the length:
- Length of each guy wire = √207.25 ≈ 14.4 m
Conclusion
Each guy wire is approximately 14.4 meters long, effectively supporting the 18 m pole at the specified points.
To find the length of each guy wire, we first need to visualize the setup. The pole, the ground, and the guy wires form a right triangle.
Key Measurements
- Height of the pole: 18 m
- Guy wire attachment point: 3/4 of the way up the pole
- Distance from the base of the pole to the guy wire points on the ground: 5 m
Calculating the Height of Attachment
1. Determine the height at which the guy wires are attached:
- Height of the attachment point = (3/4) * 18 m = 13.5 m
Forming a Right Triangle
2. Identify the triangle components:
- Vertical side (height of attachment) = 13.5 m
- Horizontal side (distance from the pole) = 5 m
Using the Pythagorean Theorem
3. Calculate the length of the guy wire (hypotenuse):
- The formula is: Hypotenuse = √(Vertical side² + Horizontal side²)
- Substitute the values:
- Hypotenuse = √(13.5² + 5²)
- Hypotenuse = √(182.25 + 25)
- Hypotenuse = √207.25
Final Calculation
4. Calculate the length:
- Length of each guy wire = √207.25 ≈ 14.4 m
Conclusion
Each guy wire is approximately 14.4 meters long, effectively supporting the 18 m pole at the specified points.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
A 18 m pole is supported by 2 guy wires attached to a point 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?
Question Description
A 18 m pole is supported by 2 guy wires attached to a point 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 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 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 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 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 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?.
Solutions for A 18 m pole is supported by 2 guy wires attached to a point 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? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of A 18 m pole is supported by 2 guy wires attached to a point 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? defined & explained in the simplest way possible. Besides giving the explanation of
A 18 m pole is supported by 2 guy wires attached to a point 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 detailed solution for A 18 m pole is supported by 2 guy wires attached to a point 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? has been provided alongside types of A 18 m pole is supported by 2 guy wires attached to a point 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? theory, EduRev gives you an
ample number of questions to practice A 18 m pole is supported by 2 guy wires attached to a point 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? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup