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The included angle when bearings are in opposite side refers to the angle formed between two survey lines when their bearings are measured on opposite sides of a common meridian. This is a fundamental concept in compass surveying and navigation.
The calculator uses the formula:
Where:
Explanation: When bearings are measured on opposite sides of a common meridian, the included angle is simply the sum of the back bearing of the previous line and the fore bearing of the previous line.
Details: Accurate calculation of included angles is crucial for precise surveying, mapping, and navigation. It helps in determining the correct orientation of survey lines and ensures the accuracy of land measurements and boundary determinations.
Tips: Enter both back bearing and fore bearing values in radians. Ensure the values are accurate measurements from your compass survey. The calculator will sum these values to give you the included angle.
Q1: What is the difference between fore bearing and back bearing?
A: Fore bearing is the bearing measured in the direction of survey, while back bearing is the bearing measured in the opposite direction, exactly 180 degrees different.
Q2: When are bearings considered to be on opposite sides?
A: Bearings are on opposite sides when one is measured clockwise from north and the other is measured counterclockwise from north, or vice versa.
Q3: Can this formula be used for degrees instead of radians?
A: The formula works for any angular unit as long as both inputs use the same unit. However, the calculator is specifically designed for radians.
Q4: What is the typical range of values for included angles?
A: Included angles typically range from 0 to 2π radians (0 to 360 degrees), depending on the specific survey configuration.
Q5: How accurate is this calculation method?
A: The calculation is mathematically precise. The accuracy of the result depends on the accuracy of the input bearing measurements from your survey.