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three vertical angles object height Example Calculation
Calculation example - Calculate the height of an object from three angles of elevation
Contents [show]
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 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:
Solving triangles ADB and ADC by the cosine rule:
In triangle ADB,
Same for triangle ADC,
Therefore:
And:
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