IIT JAM Exam > IIT JAM Questions > An ore body is dipping 30° towards west ...
Start Learning for Free
An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?
Correct answer is between '161.63,161.67'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
An ore body is dipping 30° towards west on a flat topography. At ...
Explanation:
Given parameters:
- Dip angle of ore body = 30°
- Direction of dip = towards west
- Topography = flat
- Vertical depth of ore body = 70 m
To find:
- Distance at which a borehole should be placed to intersect the ore body perpendicularly
Steps to follow:
1. Draw a diagram: We can draw a diagram based on the given information.
2. Determine the horizontal distance: We need to determine the horizontal distance from the point where the borehole intersects the ore body to the point directly underneath it.
3. Use trigonometry: We can use trigonometry to calculate the horizontal distance. We know that the vertical depth of the ore body is 70 m and the dip angle is 30°. Therefore, the horizontal distance can be calculated as:
Horizontal distance = Vertical depth / tan(dip angle) = 70 / tan(30°) = 70 / 0.5774 = 121.22 m
4. Determine the total distance: We need to add the horizontal distance to the distance from the point where the borehole intersects the surface to the point directly underneath it. This distance can be calculated as:
Depth of ore body / sin(dip angle) = 70 / sin(30°) = 140 m
Therefore, the total distance is:
Total distance = Horizontal distance + Depth of ore body / sin(dip angle) = 121.22 + 140 = 261.22 m
5. Round-off: The correct answer is between 161.63 and 161.67. Therefore, we can round off the answer to:
Distance = 161.65 m
Answer:
The distance at which a borehole should be placed to intersect the ore body perpendicularly at a vertical depth of 70 meters is 161.65 meters.
Given parameters:
- Dip angle of ore body = 30°
- Direction of dip = towards west
- Topography = flat
- Vertical depth of ore body = 70 m
To find:
- Distance at which a borehole should be placed to intersect the ore body perpendicularly
Steps to follow:
1. Draw a diagram: We can draw a diagram based on the given information.
2. Determine the horizontal distance: We need to determine the horizontal distance from the point where the borehole intersects the ore body to the point directly underneath it.
3. Use trigonometry: We can use trigonometry to calculate the horizontal distance. We know that the vertical depth of the ore body is 70 m and the dip angle is 30°. Therefore, the horizontal distance can be calculated as:
Horizontal distance = Vertical depth / tan(dip angle) = 70 / tan(30°) = 70 / 0.5774 = 121.22 m
4. Determine the total distance: We need to add the horizontal distance to the distance from the point where the borehole intersects the surface to the point directly underneath it. This distance can be calculated as:
Depth of ore body / sin(dip angle) = 70 / sin(30°) = 140 m
Therefore, the total distance is:
Total distance = Horizontal distance + Depth of ore body / sin(dip angle) = 121.22 + 140 = 261.22 m
5. Round-off: The correct answer is between 161.63 and 161.67. Therefore, we can round off the answer to:
Distance = 161.65 m
Answer:
The distance at which a borehole should be placed to intersect the ore body perpendicularly at a vertical depth of 70 meters is 161.65 meters.
|
Explore Courses for IIT JAM exam
|
|
Similar IIT JAM Doubts
An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer?
Question Description
An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer?.
An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer?.
Solutions for An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer?, a detailed solution for An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer? has been provided alongside types of An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An ore body is dipping 30° towards west on a flat topography. At what distance (in meters) should a borehole be placed so that it intersects the ore body perpendicularly at a vertical depth of 70 meters ?Correct answer is between '161.63,161.67'. Can you explain this answer? tests, examples and also practice IIT JAM tests.
|
|
Explore Courses for IIT JAM 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