Answer:
3.0 cm
Step-by-step 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;
[tex]\frac{4.7}{sin(95)}=\frac{a}{sin(40)}\\\\a=\frac{4.7}{sin(95)}*sin(40)\\\\a=3.03[/tex]
Answer:
Option C. a = 3.0 cm
Step-by-step explanation:
We have to find the value of a from the given triangle ABC.
By applying sine rule in ΔABC
[tex]\frac{sin95}{4.7}=\frac{sin40}{a}[/tex]
Now we cross multiply in the given equation.
a(sin95°) = 4.7(sin40°)
a(0.9962) = 4.7(0.6428)
a = [tex]\frac{4.7(0.6428)}{0.9962}[/tex]
a = 3.03 cm ≈ 3.0 cm
Therefore, a = 3.0cm Option C. will be the answer.
