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three vertical angles object height Example Calculation # Calculation example - Calculate the height of an object from three angles of elevation

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**Calculate the height of an object by measuring three angles of elevation only, from stations A, B and C on a straight level line to an inaccessible up-station D.**

**Known values:**

Measured distances ** AB = x** and

Vertical angles ** α**,

**Solution:** Height of object ** h**.

From vertical triangles ADE, BDE and CDE:

Solving triangles ADB and ADC by the cosine rule:

In triangle ADB,

Same for triangle ADC,

Therefore:

And:

** **

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