SSA and geometry

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

Correct answer:

Q =  46.5966 °

Step-by-step explanation:

R=107+2260=322130107.3667 ° r=356 m q=271 m  sin(Q)sin(R)=qr  s=sin(Q) s=qr sinR°=qr sin107.36666666667° =271356 sin107.36666666667° =271356 0.954414=0.72653  Q=180°πarcsin(s)=180°πarcsin(0.7265)=46.5966°=46°3548"

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