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Height Calculation Formula:
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The Angle to Height calculation is a trigonometric method to determine the height of an object when you know the distance to the object and the angle of elevation to its top. This is commonly used in surveying, navigation, and various engineering applications.
The calculator uses the trigonometric tangent function:
Where:
Explanation: The tangent of an angle in a right triangle is the ratio of the opposite side (height) to the adjacent side (distance).
Details: This calculation is used in surveying to measure heights of buildings or trees, in aviation for altitude calculations, in construction for determining heights of structures, and in various scientific measurements.
Tips: Enter the horizontal distance in meters and the angle of elevation in degrees (must be between 0 and 90 degrees). The calculator will automatically compute the height.
Q1: What is the maximum angle I can enter?
A: The angle must be less than 90 degrees. At exactly 90 degrees, the tangent function approaches infinity.
Q2: How accurate is this calculation?
A: The calculation is mathematically precise, but real-world accuracy depends on the precision of your distance and angle measurements.
Q3: Does this work for angles below the horizontal?
A: For angles of depression (looking downward), the same formula applies but you'll get negative height values indicating position below the observation point.
Q4: What units should I use?
A: The calculator uses meters for distance, but you can use any units as long as you're consistent (the height will be in the same units as the distance).
Q5: Can I use this for very large distances?
A: For distances over several kilometers, you might need to account for Earth's curvature for precise measurements.