Mathematics
tom3
78

explain step by step how to solve. please point out any similarities in the steps used for each question

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(1) Answers
anahialvarez646

#1 m∠A=180 - 115 - 24 = 41° By the law of sines: b/sinB = a/sinA  ⇒   b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13 c/sinC = a/sinA  ⇒   c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29 #2 m∠C=180 - 119 - 27 = 34° By the law of sines: b/sinB = a/sinA  ⇒   b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25 c/sinC = a/sinA  ⇒   c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16 #3 m∠C=180 - 57 - 37 = 86° By the law of sines: c/sinC = a/sinA  ⇒   c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1

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