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  • Calculation example - Calculate the height of an object from three angles of elevation

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

Written by  TheCivilEngineer.org

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.

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

Known values:

Measured distances AB = x and BC = y.

Vertical angles α, β, θ measured at A, B and C respectively.

Solution: Height of object h.

From vertical triangles ADE, BDE and CDE:

28 capture 1

Solving triangles ADB and ADC by the cosine rule:

In triangle ADB,

28 capture 2

Same for triangle ADC,

28 capture 3

Therefore:

28 capture 4

And:

28 capture 5

28 capture 6

 

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Read 457 times Last modified on Tuesday, 21 January 2020 08:27
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