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A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected?
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A pole has to be erected at a point on the boundary of a park of diame...
Problem Statement:
A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m. Is it possible to do so? If yes, at what distance from the two gates should the pole be erected? Explain in detail.
Solution:
Understanding the Problem:
We have a park of diameter 13m with two diametrically opposite gates A and B. We need to erect a pole at a point on the boundary of the park such that the difference of its distance from gates A and B is 7m.
Analysis of the Problem:
We need to determine if it is possible to erect a pole at a point on the boundary of the park such that the difference of its distance from gates A and B is 7m. If it is possible, we need to determine the distance of the pole from gates A and B.
Solution:
Let us assume that the pole is erected at point P on the boundary of the park.
Let the distance of point P from gate A be x meters and the distance of point P from gate B be y meters.
Therefore, we have:
x + y = 13 (since point P is on the boundary of the park)
x - y = 7 (since the difference of distances from gates A and B is 7m)
Solving these two equations, we get:
x = 10
y = 3
Therefore, the pole should be erected at a distance of 10m from gate A and 3m from gate B.
Conclusion:
It is possible to erect a pole at a point on the boundary of the park such that the difference of its distance from gates A and B is 7m. The pole should be erected at a distance of 10m from gate A and 3m from gate B.
A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m. Is it possible to do so? If yes, at what distance from the two gates should the pole be erected? Explain in detail.
Solution:
Understanding the Problem:
We have a park of diameter 13m with two diametrically opposite gates A and B. We need to erect a pole at a point on the boundary of the park such that the difference of its distance from gates A and B is 7m.
Analysis of the Problem:
We need to determine if it is possible to erect a pole at a point on the boundary of the park such that the difference of its distance from gates A and B is 7m. If it is possible, we need to determine the distance of the pole from gates A and B.
Solution:
Let us assume that the pole is erected at point P on the boundary of the park.
Let the distance of point P from gate A be x meters and the distance of point P from gate B be y meters.
Therefore, we have:
x + y = 13 (since point P is on the boundary of the park)
x - y = 7 (since the difference of distances from gates A and B is 7m)
Solving these two equations, we get:
x = 10
y = 3
Therefore, the pole should be erected at a distance of 10m from gate A and 3m from gate B.
Conclusion:
It is possible to erect a pole at a point on the boundary of the park such that the difference of its distance from gates A and B is 7m. The pole should be erected at a distance of 10m from gate A and 3m from gate B.
Community Answer
A pole has to be erected at a point on the boundary of a park of diame...
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A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected?
Question Description
A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected?.
A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected?.
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A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected?, a detailed solution for A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected? has been provided alongside types of A pole has to be erected at a point on the boundary of a park of diameter 13 m in such way that the difference of its distance from two diametrically opposite fixed gates A and B on the boundary is 7m . Is it possible to do so? If yes,at what distance from the two gates should the pole be erected? theory, EduRev gives you an
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