more geometry!

 

 

Get the measure of the angles on either side of PAQ   

then subtract them from 90^o to leave the size of PAQ.  

 

tangent of BAP is 5 / 7  =  0.7143   

tangent of DAQ is 5 / 7  =  0.7143  

 

note that tan^–1(0.7143)  =  35.54^o  

 

BAP + DAQ  =  35.54^o + 35.54^o  =  71.08^o  

 

PAQ  =  90^o – 71.08^o  =  18.92^o  

 

sin(18.92^o)  =  0.324  

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