Question

Help? Use the law of sines to find the length of side c

Answer 1

C

Explanation:

Using the law of Sines in ΔABC

`(a)/(sinA)` =
`(c)/(sinC)`, that is

`(37)/(sin42)` =
`(c)/(sin41.5)` ( cross- multiply )

c × sin42° = 37 × sin41.5° ( divide both sides by sin42° )

c =
`(37(sin41.5))/(sin42)` ≈ 36.64 ( to 2 dec. places )

Answer 2

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➷ a/sinA = c/sinC

Substitute in the values:

37/sin(42) = c/sin(41.5)

Multiply both sides by sin(41.5)

37/sin(42) x sin(41.5) = c

Solve:

c = 36.63999457

The correct answer would be C. 36.64

✽

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