Unlock the power of geometry with our free Triangulation Calculator. This essential online tool helps you effortlessly calculate unknown distances and precise positions from two known points and measured angles. Ideal for surveying, navigation, and understanding spatial relationships, simply input your baseline and angles to get instant, accurate results.
Formula:
Triangulation relies on the principles of trigonometry, specifically the Law of Sines, to find unknown lengths and angles within a triangle when a baseline and two angles are known.
Given:
- d: Baseline distance between two known points (P1 and P2).
- α (alpha): Angle measured from P1 to the unknown point (P3).
- β (beta): Angle measured from P2 to the unknown point (P3).
First, calculate the third angle γ (gamma) at P3:
γ = 180° - (α + β)
Then, the distances to P3 are determined using the Law of Sines:
Distance P1-P3 = d * sin(β) / sin(γ)
Distance P2-P3 = d * sin(α) / sin(γ)