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If the measured distance along the slope is 18.5 m and the gradient is 1:16, then the horizontal distance is (1) 18.5m (3) 17.9m (2) 18.46m (4) 16m?
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If the measured distance along the slope is 18.5 m and the gradient is...
Calculating Horizontal Distance from Measured Distance and Gradient
To calculate the horizontal distance from a measured distance and gradient, we need to use the formula:
Horizontal distance = Measured distance / (Square root of (gradient^2 +1))
Where,
- Measured distance is the distance measured along the slope
- Gradient is the ratio of the vertical change to the horizontal change (for example, 1:16 means for every 1 unit of vertical change, there is 16 units of horizontal change)
Applying the Formula to the Given Values
In this case, the measured distance is 18.5m and the gradient is 1:16.
So, first we need to convert the gradient ratio to a decimal:
1:16 = 1/16 = 0.0625
Then, we can substitute the values into the formula:
Horizontal distance = 18.5 / (Square root of (0.0625^2 +1))
= 18.5 / (Square root of 0.00390625 +1)
= 18.5 / (Square root of 1.00390625)
= 18.5 / 1.0019509
= 18.46m (rounded to two decimal places)
Therefore, the horizontal distance is 18.46m.
Conclusion
To calculate the horizontal distance from a measured distance and gradient, we need to use the formula: horizontal distance = measured distance / (Square root of (gradient^2 +1)). In this case, the horizontal distance is 18.46m when the measured distance is 18.5m and the gradient is 1:16.
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If the measured distance along the slope is 18.5 m and the gradient is 1:16, then the horizontal distance is (1) 18.5m (3) 17.9m (2) 18.46m (4) 16m?
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If the measured distance along the slope is 18.5 m and the gradient is 1:16, then the horizontal distance is (1) 18.5m (3) 17.9m (2) 18.46m (4) 16m? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If the measured distance along the slope is 18.5 m and the gradient is 1:16, then the horizontal distance is (1) 18.5m (3) 17.9m (2) 18.46m (4) 16m? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the measured distance along the slope is 18.5 m and the gradient is 1:16, then the horizontal distance is (1) 18.5m (3) 17.9m (2) 18.46m (4) 16m?.
If the measured distance along the slope is 18.5 m and the gradient is 1:16, then the horizontal distance is (1) 18.5m (3) 17.9m (2) 18.46m (4) 16m? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If the measured distance along the slope is 18.5 m and the gradient is 1:16, then the horizontal distance is (1) 18.5m (3) 17.9m (2) 18.46m (4) 16m? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the measured distance along the slope is 18.5 m and the gradient is 1:16, then the horizontal distance is (1) 18.5m (3) 17.9m (2) 18.46m (4) 16m?.
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