Question

Which expression represents the approximate length of Line segment B C?

Use law of sines

Answer 1

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Explanation:

Answer 2

The expression is

`BC=(3)/(sin(38^o))sin(66^o)`

`BC=4.45\ units`

Explanation:

we know that

In the triangle ABC

Applying the law of sines

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

we have

`AB=3\ units\\C=38^o\\A=66^o`

substitute the given values

`(3)/(sin(38^o))=(BC)/(sin(66^o))`

Solve for BC

`BC=(3)/(sin(38^o))sin(66^o)`

`BC=4.45\ units`