Question

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Answer 1

mBC ≈ 20.5

Explanation:

Law of Sines:
`(a)/(sinA) =(b)/(sinB) =(c)/(sinC)`

Simply plug in it into the formula.

Step 1: Define variables

c = 16

C = 52°

A = 84°

BC = x

Step 2: Plug into formula

`(16)/(sin51) =(x)/(sin84)`

Step 3: Solve

`sin84((16)/(sin51)) = x`

x = 20.4754

x ≈ 20.5