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 1. In ΔPQR, r = 49 inches, ∠P=107° and ∠Q=42°. Find the length of p, to the nearest inch.

 2. In ΔGHI, i = 650 cm, ∠H=87° and ∠I=79°. Find the length of h, to the nearest tenth of a centimeter

 3. In ΔOPQ, o = 80 cm, ∠Q=136° and ∠O=16°. Find the length of q, to the nearest tenth of a centimeter.

 Mar 22, 2022
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1)  angle(R) + angle(P) + angle(Q)  =  180o

     --->         angle(R) + 107o + 42o  =  180o  

     --->                               angle(R)  =  31o  

 

     p / sin(P)  =  r / sin(R)     --->     p / sin(107o)  =  49 / sin(31o)  

                                            --->     p  =  49 x sin(107o) / sin(31o)  

                                            --->     p  =  ......

 

The other two practice problems are solved in the same manner.

 Mar 22, 2022

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