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.

 " m∠P =  35.9306 °  "  .

Explanation:
 

Given the following right triangle: 

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

Solve for:  " m∠P  ";


Using "SOH -CAH- TOA" mnemonic; 

Use "SOH" :  sine = opposite/ hypotenue ; 

→  sin (m∠P) = (33.8) / (57.6) ;

   → (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) ;  


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

I am assuming it should read 4.5 millions births.

We need to figure out how many minutes there are in a year and then divide the annual total by that number.

number of minutes in a year = 365 days * 24 hours * 60 mins = 525600 minutes

birthrate = 4500000 births / 525600 minuteds = 8.56 births/minute