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Example Calculation surveying trigonometry object height # Calculation example - Calculate the height of an object when its base is inaccessible #4

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**Calculate the height of an object from a baseline when its projected position to the ground is inaccessible. Case scenario when baseline AB on sloping ground and not in line with object.**

**Known values:**

Baseline distance ** AB** length, height

Angles measured at A – Horizontal angle ** θ** vertical angle

Angles measured at B** – **Horizontal angle

**Solution:** Height of object above ground at position ** A**.

First, calculate horizontal distance *A _{1}B_{2}. *

In triangle A_{1}C_{1}B_{2}, given the sine law:

In triangle A_{1}C_{1}E:

Then:

Finally, calculate height of object above ground at station ** A**:

Combining the previous:

** **

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