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

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

Written by  TheCivilEngineer.org

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.

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

Known values:

Baseline distance AB length, height h1 of the observer at points A and B.

Vertical angles measured at A – α1, a2 and δ.

Vertical angles measured at B – β1 and β2.

Solution: Height of object Η.

First, measure horizontal distance AB and vertical angles α1, α2, δ and β1, β2 from observer points A1 and B1 respectively.

In triangle A1ΕB1,

 26 capture 1

Same for triangle A1OB1,

26 capture 2

Then calculate sloping distance A1Ε:

26 capture 3

and

26 capture 4

Same for sloping distance A1O:

26 capture 5

and

26 capture 6

Then:

26 capture 7

Thus:

26 capture 8

 

 

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Read 409 times Last modified on Wednesday, 13 November 2019 08:33
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