**Known values:** Angles * α*,

*and*

**β***– Distance*

**θ***– Coordinates*

**(ΑΒ)***and*

**(X**_{T}, Y_{T})*.*

**(X**_{P}, Y_{P})**Solution:** Coordinates * (X_{A}, Y_{A})* and

**(X**_{B}, Y_{B})A second reference station **P** is far but visible from **T** and **B**. By occupying station **A**, measure angle * α*. From station

**B**, measure angles

*and*

**β***. Finally, measure distance*

**θ***.*

**S**_{AB}1. By applying the Second Fundamental Surveying Problem and the known coordinates of reference stations **T** and **P**, calculate the **bearing angle** * TP *and distance

*:*

**S**_{TP}2. By applying the sine law on triangle **TAB**, calculate the auxiliary distances * S_{TA}* and

*:*

**S**_{TB}3. By applying the sine law on triangle **TΡΒ**, calculate angle * ω*:

4. Then, calculate **bearing angles** * α_{TA}* and

*:*

**α**_{TB}5. Considering the known coordinates of reference station **T** and applying the equations of the First Fundamental Surveying Problem:

6. For validating the results, apply the following: