(Solved): Q2: (30 marks) The angles \( \theta_{1} \& \theta_{2} \) measured from shore stations \( A \) \& \ ...

Q2: (30 marks) The angles \( \theta_{1} \& \theta_{2} \) measured from shore stations \( A \) \& \( B \), respectively to the sounding position \( P \) as \( \left(\theta_{1}=44^{\circ} 8^{\prime} 1^{\prime \prime} \& \theta_{2}=25^{\circ} 47^{\prime} 44^{\prime \prime}\right) \). The coordinates of: \( A=(154.657 ; 69.095) \), and \( B=(329.559 ; 84.397) \). Find the coordinates of the beginning and the last sounding points on the second survey line that designed to be equal to \( 600 \mathrm{~m} \). Knowing that the position \( (\mathrm{P}) \) is the beginning of the first survey line, which has an azimuth equal to \( 38^{\circ} 25^{\prime} 10^{\prime \prime} \).