Question

#2 Part a & b

26, C=107", b = 33. 2. How many triangle(s) can you make for each problem from the given information? Graph and show your work. Koop your answers in one decimal place calculator ok. a) A-65°, a = 18m b = 22. b) A=58°, a = 20, b = 22.

Answer 1

2. (a) A = 65° a=18m 6=22m we use the formula Sin A SinB b a sin 65° 슈 fi SinB 22 0.9063 sin B 18 22 11.00 sinB = 0.9063 x 22 18 sinB = 1.1077 (1. 1077) cue know sin valve varies between - 1 <sinoch so it has ro Solution sini

(6) A = 58° a=20, b=22 we use the formula Sin A sinB a b sin 58° sin B 20 sin 58° x 22 sin B 20 0.8480 X 22 sin B = 20 > sin B = 0.9329 B sin-1 (0.9329) B = 68.89° B = 180°- 68.89 111. 11° or If B = 68.89 c=180°- (58'+ 68.899) 53. 11° 18.9/68.862 2om 458 53.11) А 22 m sin 53.11 sin 68.89° 22. sin 53.11° 22 sin 68.89° 18.86 ~ 18.9 m

10.89 B 111.11a 20 Again B = 111.11° C = 180'- (58°+ 111.119) 10.899 sin 10.890 = sin 11.11 .22 c = sin 10.890x22 sin 111,11° C 22 A350 С → 4.45 ~ 4.6m so we have two solution A = 58° B = 68.899 e = 53.11° A = 58 BE111:11° C 10.89° 20 m a 20 m b = 22 m e = 4.6 m 6 2 22 m 2 18.9 m
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