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Two poles of 10 M and 15 M stand upright on a plane ground if the distance between the top is 13 M find the distance between their feet?
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Two poles of 10 M and 15 M stand upright on a plane ground if the dist...
Understanding the Problem
To find the distance between the feet of two poles standing upright, we can visualize this scenario as a right triangle. The poles of heights 10 m and 15 m create a vertical distance, and the distance between their tops forms the hypotenuse of the triangle.
Key Measurements
- Height of Pole 1 (A): 10 m
- Height of Pole 2 (B): 15 m
- Distance Between the Tops: 13 m
Calculating the Vertical Distance
We first calculate the vertical distance between the tops of the two poles:
- Vertical Distance (h) = Height of Pole 2 - Height of Pole 1
- h = 15 m - 10 m = 5 m
Using the Pythagorean Theorem
In a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). Here:
- c = Distance between the tops = 13 m
- a = Vertical distance = 5 m
- b = Distance between the feet of the poles (D) which we need to find.
According to the Pythagorean theorem:
- c² = a² + b²
- 13² = 5² + D²
- 169 = 25 + D²
- D² = 169 - 25 = 144
- D = √144 = 12 m
Final Distance
The distance between the feet of the two poles is 12 meters.
This method not only provides the answer but also reinforces the geometric principles behind it.
To find the distance between the feet of two poles standing upright, we can visualize this scenario as a right triangle. The poles of heights 10 m and 15 m create a vertical distance, and the distance between their tops forms the hypotenuse of the triangle.
Key Measurements
- Height of Pole 1 (A): 10 m
- Height of Pole 2 (B): 15 m
- Distance Between the Tops: 13 m
Calculating the Vertical Distance
We first calculate the vertical distance between the tops of the two poles:
- Vertical Distance (h) = Height of Pole 2 - Height of Pole 1
- h = 15 m - 10 m = 5 m
Using the Pythagorean Theorem
In a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). Here:
- c = Distance between the tops = 13 m
- a = Vertical distance = 5 m
- b = Distance between the feet of the poles (D) which we need to find.
According to the Pythagorean theorem:
- c² = a² + b²
- 13² = 5² + D²
- 169 = 25 + D²
- D² = 169 - 25 = 144
- D = √144 = 12 m
Final Distance
The distance between the feet of the two poles is 12 meters.
This method not only provides the answer but also reinforces the geometric principles behind it.
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Two poles of 10 M and 15 M stand upright on a plane ground if the distance between the top is 13 M find the distance between their feet?
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Two poles of 10 M and 15 M stand upright on a plane ground if the distance between the top is 13 M find the distance between their feet? 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 Two poles of 10 M and 15 M stand upright on a plane ground if the distance between the top is 13 M find the distance between their feet? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two poles of 10 M and 15 M stand upright on a plane ground if the distance between the top is 13 M find the distance between their feet?.
Two poles of 10 M and 15 M stand upright on a plane ground if the distance between the top is 13 M find the distance between their feet? 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 Two poles of 10 M and 15 M stand upright on a plane ground if the distance between the top is 13 M find the distance between their feet? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two poles of 10 M and 15 M stand upright on a plane ground if the distance between the top is 13 M find the distance between their feet?.
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