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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.

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JonHenderson55
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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Answer:

35.9 is correct answer I took the test and please make sure you are looking at the correct question for your quiz one or two variables can be mixed up. This is the correct answer, some people have answered 54.1 on another tabs.

Step-by-step explanation:

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