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 sin107.366666667 =271356 sin107.366666667 =271356 0.954414=0.72653  Q=180πarcsin(s)=180πarcsin(0.7265)=46.5966=463548"

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