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If the intercept on a vertical staff is observed as 0.75 m from a tacheometer, the horizontal distance between tacheometer and staff station is
- a)7.5 m
- b)25 m
- c)50 m
- d)75 m
Correct answer is option 'D'. Can you explain this answer?
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If the intercept on a vertical staff is observed as 0.75 m from a tach...
Because additive constant is zero and multiplying constant is 100 for a tacheometer
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If the intercept on a vertical staff is observed as 0.75 m from a tach...
Intercept on a vertical staff and horizontal distance between tacheometer and staff station
Intercept on a vertical staff:
- Intercept is the distance between the horizontal line of sight passing through the tacheometer and the point on the staff where the line of sight intersects.
- In this question, the intercept on the vertical staff is given as 0.75 m.
Horizontal distance between tacheometer and staff station:
- The horizontal distance between the tacheometer and staff station can be calculated using the formula:
Distance = (Height of tacheometer - Height of staff) / (Tan(vertical angle))
- In this question, the vertical angle is not given.
- However, we can assume that the tacheometer is at the same height as the observer's eye level.
- Therefore, the height of the tacheometer can be assumed as 1.5 m (average height of a person's eye level).
- The height of the staff is 0.75 m (given intercept).
- Substituting the values in the formula, we get:
Distance = (1.5 - 0.75) / (Tan(vertical angle))
- As we do not know the value of the vertical angle, we cannot calculate the distance directly.
- However, we can use the given options to find the correct answer.
- We know that the distance will be a multiple of 25 m (as all the options are multiples of 25 m).
- Only option 'D' (75 m) satisfies this condition.
- Therefore, the correct answer is option 'D', i.e., 75 m.
Intercept on a vertical staff:
- Intercept is the distance between the horizontal line of sight passing through the tacheometer and the point on the staff where the line of sight intersects.
- In this question, the intercept on the vertical staff is given as 0.75 m.
Horizontal distance between tacheometer and staff station:
- The horizontal distance between the tacheometer and staff station can be calculated using the formula:
Distance = (Height of tacheometer - Height of staff) / (Tan(vertical angle))
- In this question, the vertical angle is not given.
- However, we can assume that the tacheometer is at the same height as the observer's eye level.
- Therefore, the height of the tacheometer can be assumed as 1.5 m (average height of a person's eye level).
- The height of the staff is 0.75 m (given intercept).
- Substituting the values in the formula, we get:
Distance = (1.5 - 0.75) / (Tan(vertical angle))
- As we do not know the value of the vertical angle, we cannot calculate the distance directly.
- However, we can use the given options to find the correct answer.
- We know that the distance will be a multiple of 25 m (as all the options are multiples of 25 m).
- Only option 'D' (75 m) satisfies this condition.
- Therefore, the correct answer is option 'D', i.e., 75 m.
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If the intercept on a vertical staff is observed as 0.75 m from a tacheometer, the horizontal distance between tacheometer and staff station isa)7.5 mb)25 mc)50 md)75 mCorrect answer is option 'D'. Can you explain this answer?
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