Question

Triangle A B C is shown. Angle B A C is 66 degrees and angle A C B is 38 degrees. The length of A B is 3.

Which expression represents the approximate length of Line segment B C?
StartFraction (3) sine (66 degrees) Over sine (38 degrees) EndFraction
StartFraction sine (66 degrees) Over (3) sine (38 degrees) EndFraction
StartFraction (3) sine (38 degrees) Over sine (66 degrees) EndFraction
StartFraction sine (38 degrees) Over (3) sine (66 degrees) EndFraction

The answer is A.

Answer 1

its A

Explanation:

it's the answer

Answer 2

Option (1)

Explanation:

Given triangle ABC shows the length of side AB = 3 units

Measure of angle A = 66°

Measure of angle C = 38°

By applying Sine rule in the given triangle,

`\frac{\text{Sin}A}{BC}=\frac{\text{Sin}B}{AC}=\frac{\text{Sin}C}{AB}`

Or
`\frac{\text{Sin}A}{a}=\frac{\text{Sin}B}{b}=\frac{\text{Sin}C}{c}`

By substituting the given measures,

`\frac{\text{Sin}A}{BC}=\frac{\text{Sin}C}{c}`

`\frac{\text{Sin}66}{BC}=\frac{\text{Sin}38}{3}`

BC =
`\frac{3* \text{Sin}66}{\text{Sin}38}`

Therefore, Option (1) will be the answer.