Question

Use the law of sines to find the value of a.

Law of sines:

What is the best approximation of the value of a?

2.4 cm
2.7 cm
3.0 cm
3.3 cm

Answer 1

Option C. a = 3.0 cm

Explanation:

We have to find the value of a from the given triangle ABC.

By applying sine rule in ΔABC

`(sin95)/(4.7)=(sin40)/(a)`

Now we cross multiply in the given equation.

a(sin95°) = 4.7(sin40°)

a(0.9962) = 4.7(0.6428)

a =
`(4.7(0.6428))/(0.9962)`

a = 3.03 cm ≈ 3.0 cm

Therefore, a = 3.0cm Option C. will be the answer.

Answer 2

3.0 cm

Explanation:

The Law of Sines states the relationship between the sides and the angles of non-right (oblique) triangles.

In the given triangle,the following relation holds;

`(4.7)/(sin(95))=(a)/(sin(40))\\\\a=(4.7)/(sin(95))*sin(40)\\\\a=3.03`