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Calculate the height of an object from a baseline when its projected position to the ground is inaccessible. Case scenario when baseline AB is level but not in line with object.
Known values: Baseline distance AB length, height h1 of the observer at points A and B,
Angles measured at A – Horizontal angle θ and vertical angle α
Angles measured at B – Horizontal angle φ and vertical angle β.
Solution: Height of object above ground at position A.
In triangle ABC, given the sine law:
Then
Also
Thus:
Ηeight of object (Ε) above ground at station A = C1E + h1
and
Ηeight of projection (D) above ground at station A = C1E + h1 - h2 if height h2 is known.
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