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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?
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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.
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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?.
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