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

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nelsonp33 nelsonp33

08-08-2017
Mathematics

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

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Banabanana Banabanana · Answer 1 · 2017-08-08T16:35:49+02:00

#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