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3 In AABC, B = 104.3°, C = 31.3°, a = 29-0cm. Calculate c.
Question
3 In AABC, B = 104.3°, C = 31.3°, a = 29-0cm.
Calculate c.
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Mathematics
3 years
2021-08-01T02:33:10+00:00
2021-08-01T02:33:10+00:00 1 Answers
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Answers ( )
Answer:
21.53 m
Step-by-step explanation:
We can obtain the angle C;
C + 104.3 + 31.3 = 180 ( sin of angles in a triangle)
C = 180 – (104.3 + 31.3)
C = 44.4°
Using Sine rule :
c / sinC = a / sin A
Cross multiply :
c * sin44.4 = 29 * sin 31.3
c * sin44.4 = 15.066054
c = 15.066054 / sin 44.4
c = 15.066054 / 0.6996633
c = 21.533291
c = 21.53 m