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Example Calculation surveying trigonometry object height # Calculation example - Calculate the height of an object when its top and bottom are visible but inaccessible #2

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**Calculate the height of an object from a baseline when its top and bottom is visible but not accessible from observation points. Case scenario when baseline AB on sloping ground and in line with object.**

**Known values:**

Baseline distance ** AB** length, height

Vertical angles measured at A – *α*_{1}** , a_{2}** and

Vertical angles measured at B – *β*_{1}* *and* β***_{2}**.

**Solution:** Height of object ** Η**.

First, measure horizontal distance ** AB** and vertical angles

In triangle A_{1}ΕB_{1},

Same for triangle A_{1}OB_{1},

Then calculate sloping distance *A _{1}*

and

Same for sloping distance ** A_{1}O**:

and

Then:

Thus:

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