Calculators · Free

Tilted rod invert elevation

This offline tool calculates the result from measured inputs. Tilted rod invert elevation.

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Runs in your browser

Runs offline in your browser. Once the page and required files have loaded, processing needs no internet.

How it works

This offline tool calculates the result from measured inputs. Tilted rod invert elevation.

HI = BM + BS; FSvertical = FSobserved × cos(θ from vertical); target = HI − FSvertical

Geometric correction for a single setup and a straight rod whose tip touches the target. All lengths share the selected unit. Does not account for rod thickness, line-of-sight offset, refraction or instrument error; it does not certify survey accuracy.

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Inputs are processed on this page and are never sent to a server.

About this tool

This offline tool calculates the result from measured inputs. Tilted rod invert elevation.

Add the plumb backsight to the benchmark elevation to find the instrument line. Multiply the reading along the tilted foresight rod by the cosine of its angle from vertical. Subtract that vertical component from the instrument line to obtain the elevation at the rod tip.

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How to use it

Enter your values
Benchmark elevation · Backsight (plumb rod) · Foresight (tilted rod) · Tilt from vertical
Calculate / generate
This offline tool calculates the result from measured inputs. Tilted rod invert elevation.
Result
Target invert elevation: 99.767949 m Corrected foresight: 1.7320508 m Tilt correction: 0.26794919 m Instrument line elevation: 101.5 m

Calculation method

Add the plumb backsight to the benchmark elevation to find the instrument line.
Multiply the reading along the tilted foresight rod by the cosine of its angle from vertical.
Subtract that vertical component from the instrument line to obtain the elevation at the rod tip.

HI = BM + BS; FSvertical = FSobserved × cos(θ from vertical); target = HI − FSvertical

Example scenario

Tilted rod invert elevation

Benchmark elevation: 100 m
Backsight (plumb rod): 1.5 m
Foresight (tilted rod): 2 m
Tilt from vertical: 30 °

Result

Target invert elevation: 99.767949 m
Corrected foresight: 1.7320508 m
Tilt correction: 0.26794919 m
Instrument line elevation: 101.5 m

Frequently asked questions

What does this result cover?

Where does my data go?

Calculations run on your device. Form inputs are not sent to a server.

Terms and definitions

Enter your values

Measurement system

The initial choice follows your browser region. Your choice is remembered on this device. Gallons are US gallons. Switching units keeps your numbers unchanged and interprets them in the new unit.

Numbers stay unchanged. Check the new unit and enter the intended measurement, or select an example for that system.

Benchmark elevation

Use this value with the unit and scope defined in the method. Benchmark elevation (BM).

Enter a numerical value for this quantity. Use the unit shown beside this field. m / ft

Minimum: -1000000 · Maximum: 1000000 m

Backsight (plumb rod)

Use this value with the unit and scope defined in the method. Backsight (plumb rod) (BS).

Enter a numerical value for this quantity. Use the unit shown beside this field. m / ft

Minimum: 0 · Maximum: 10000 m

Foresight (tilted rod)

Use this value with the unit and scope defined in the method. Foresight (tilted rod) (FS).

Enter a numerical value for this quantity. Use the unit shown beside this field. m / ft

Minimum: 1e-9 · Maximum: 10000 m

Tilt from vertical

Use this value with the unit and scope defined in the method. Tilt from vertical (θ).

Enter a numerical value for this quantity. Use the unit shown beside this field. °

Minimum: 0 · Maximum: 60 °