In △PQR, find the measure of ∡P. Triangle PQR where angle Q is a right angle. QR measures 33 point 8. PR measures 57 point 6. Measure of angle P is unknown.

Answer:  " m∠P =  35.9306 °  "  .
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Explanation:
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Given the following right triangle: 

         P
          |      
         |   \
         |      \
         |          \         
         |             \
         |               \    57.6                     
         |                 \                        
         |                   \ 
         |                      \
         |--                      \
         |_|___________\                      
       Q           33.8           R

Solve for:  " m∠P  ";
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Using "SOH -CAH- TOA" mnemonic; 

Use "SOH" :  sine = opposite/ hypotenue ; 

→  sin (m∠P) = (33.8) / (57.6) ;
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   → (33.8) / (57.6) = 0.5868055555555556 ; 

→  sin (m∠P) = 0.5868055555555556 ;

Take the "arcsin" of each side of the equation; 
   to find the:  "m∠P" ; 

→  arcsin [sin m∠P] = arcsin (0.5868055555555556) ;  

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→ m∠P = 35.930646907667 °  ;  →  round to:  " 35.9306 ° " .
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