Question

NO LINKS!!! Find the measurement indicated. Round your answer to the nearest tenth.

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Answer 1

Solutions given;

Using cosine rule

b²=a²+c²-2*a*c*cos B°

b²=15²+8²-2*15*8*cos39

b²=102.48

b=
`√(102.48)`

b=10.12

b=10.1

Using sine rule

`(sin A)/(BC) = (sin B)/(AC) =(sin C)/(AB)`

`(sin 29°)/(15) =(sin C)/(8)`

Doing criss cross multiplication

Sin C=
`(sin 29°)/(15) ×8`

m<C=Sin -¹(0.29)

m<C=14.98

m<C=15°is a required answer.