Calculate the height of an object from a baseline when its projected position to the ground is inaccessible. Case scenario when baseline AB on sloping ground and not in line with object.
Baseline distance AB length, height h1 of the observer at points A and B.
Angles measured at A – Horizontal angle θ vertical angle α to object, and vertical angle δ slope of ground.
Angles measured at B – Horizontal angle φ and vertical angle β.
Solution: Height of object above ground at position A.
First, calculate horizontal distance A1B2.
In triangle A1C1B2, given the sine law:
In triangle A1C1E:
Finally, calculate height of object above ground at station A:
Combining the previous:
Given the rate and direction of full dip of a pla...
Given the rate and direction of full dip of a plan...