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HELP PL PLS 40 and 120

HELP PL PLS 40 and 120-example-1
User Renenglish
by
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1 Answer

8 votes

Answer:

a = 10.8 ; 4.3

Explanation:

Using the Sine rule :

b / Sin B = a /sin A

b = 8 ; B = 40 ; A = 120

8 / sin 40 = a / sin 120

a sin 40 = 8 sin 120

0.6427876 a = 6.9282032

a = 6.9282032 / 0.6427876

a = 10.778370

a = 10.8

Using the cosine rule :

c = sqrt(b^2 + a^2 - 2ba CosC)

c = sqrt(8^2 + 10.8^2 - (2*10.8*8*Cos20)

c = sqrt(180.64 - 162.37888)

c = sqrt(18.26112)

c = 4.2733031

c = 4.3

User Dcrearer
by
2.5k points