SSA and geometry

The distance between the points P and Q was 356 m measured in the terrain. The viewer can see the PQ line at a 107°22' viewing angle. The observer's distance from P is 271 m. Find the viewing angle of P and the observer.

Correct answer:

Q =  46.5966 °

Step-by-step explanation:

R=107+6022=60107 60+6022=606420+6022=606420+22=606442=303221107.3667  r=356 m q=271 m   sin(R)sin(Q) = rq  s = sin(Q) s=rq sinR=rq sin107.36666666667° =356271 sin107.36666666667° =356271 0.954414=0.72653  Q=π180°arcsins=π180°arcsin0.7265=46.5966=46°3548"

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