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.
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.